Day 1 examples u7w14
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This document provides examples and explanations of the fundamental counting principle and addition counting principle to solve combinatorics problems. It gives 8 examples of using the fundamental counting principle to count the number of possible outcomes of independent events. These include counting the number of volleyball shoe combinations, outfits that can be created from different clothing items, ways to select committees from groups of people, and 3-digit numbers with no repeating digits. It also provides 5 examples of using the addition counting principle to count outcomes when events are dependent, such as selecting a president and vice president of opposite sexes from a group.
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The document explains the fundamental counting principle and provides examples of how to use it to calculate the number of possible outcomes in different scenarios. The principle states that if there are n options in one set and m options in a second set, the number of ways to choose one from each set is n x m. The examples include calculating possible volleyball shoe combinations, outfits a person could create from different clothing items, ways to select committees from groups of people, and more.Day 1 examples
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The document explains the Fundamental Counting Principle and provides examples of how to use it to calculate the number of possible outcomes when choosing objects from different sets. The principle states that if there are n objects in one set and m objects in a second set, the number of ways to choose one object from each set is n x m. It then provides 8 examples that apply this principle to scenarios such as determining the number of possible outfits one could create from different articles of clothing, arranging letters, and calculating possible phone numbers.Applied 40S March 6, 2009
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This document discusses permutations and combinations problems involving arrangements, selections, and grouping objects together or separately. It begins with examples of finding the number of arrangements or selections of objects without and with repetition. Later sections discuss dictionary problems, arrangements of alike objects, and geometry problems involving points on lines and circles. The document aims to explain key concepts like permutations, combinations, and the addition and multiplication principles through worked examples.MATHEMATICS 10- QUARTER 3_ WEEK 1ILLUSTRATING PERMUTATION.pptx
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1. The document provides information about permutations including definitions, formulas, and examples of calculating the number of permutations of different arrangements.
2. Permutations refer to the number of ways objects can be ordered or arranged, taking into account the order of the arrangement.
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The document discusses counting principles and examples of counting problems:
1) There are 12 possible outfits that can be made by combining 3 pairs of pants with 4 shirts.
2) The fundamental principle of counting states that if there are M ways to do the first thing and N ways to do the second, then there are M x N ways to do both.
3) Examples include counting possible phone numbers and combinations of letters to make words.New day 4 examples
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The document provides examples of counting permutations with restrictions. It discusses counting arrangements that must start or end with certain letters or digits, or that require certain items to be together or separate. The examples cover topics like counting letter arrangements with consonants and vowels alternating, counting numbers that are even or divisible by 5, and counting seating arrangements that require some people or books to be together or separate.Math 182 Final (HH) Name ____________________________.docx
Math 182 Final (HH) Name ____________________________.docxandreecapon
?
Math 182 Final (HH) Name: ________________________________
Due by Tuesday 6/9 at 11:55 PM and completed exams should be mailed to
[email?protected]
Show all work (when possible) for full credit! Ample spacing to do the work and
give the answers has been provided for each problem, but if you find it absolutely
necessary to use additional page(s) for work, please attach it as the page(s)
immediately following the problem(s) that it corresponds to. It is expected that you
will use the table in the textbook to find the probabilities for the specific z-values
for any problems using a normal distribution.
Page 1 2 3 4 5 6 7 8 9 10 Total
Points
Possible 12 8 8 16 4 8 16 8 16 4 100
Points
Scored
1) Decks of Pinochle cards have a total of 48 cards and consist of 6 cards each of nines, tens, jacks, queens,
kings, and aces with there being two of each suit of each denomination (for example, there are 2 aces each of
diamonds, clubs, hearts, and spades for the total of 8 aces). Suppose that you are dealt a 8-card hand from a
deck of Pinochle cards. What is the probability that:
a) you are dealt at most 2 clubs?
b) you are dealt exactly 3 queens?
2) Suppose that you roll a pair of 16-sided dice (with the sides numbered 1-16) a total of 125 times. What is
the probability that you will get a sum of 30 at least two times?
3) A mall has three department stores, J C Penney, Macy¡¯s, and Sears. A survey of 2,800 people exiting the
mall found that 513 made a purchase at J C Penney, 658 made a purchase at Macy¡¯s, 710 made a purchase at
Sears, 134 made a purchase at J C Penney and Macy¡¯s, 203 made a purchase at J C Penney and Sears, 297 of
them made a purchase at Macy¡¯s and Sears, and 82 of them made a purchase at all three stores.
a) How many people made a purchase at Sears but did not make a purchase at Macy¡¯s?
b) How many people made a purchase at exactly one of the three stores?
4) Based upon statistical studies it has been found that 3.36% of all births in the United States will result in
twins being born. If 32,300 births are selected at random what is the probability that:
a) between 1,000 and 1,100 of them (inclusive) will result in twins being born?
b) at most 1,125 of them will result in twins being born?
5) Suppose an unfair coin comes up heads 39.1% of the time if it is flipped. If the coin is flipped 11 times,
what is the probability that:
a) it comes up heads exactly 4 times?
b) it comes up tails more than 9 times?
6) The weights of full-grown male wolverines are known to be normally distributed with a mean of 50 pounds
and a standard deviation of 7 pounds. What i ...Pre-Cal 40S ºÝºÝߣs April 30, 2007
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(1) There are 7 teams in a men's hockey league that play each other twice. To complete the league schedule, 21 games are needed.
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The document contains 45 probability and combinatorics word problems with multiple choice answers. The problems cover a range of topics including counting combinations and arrangements, probability of independent and dependent events, probability distributions from dice rolls and random selections with and without replacement. The final question is about counting the number of ways a buyer can choose 3 items from 10 new items, with two items being identical.mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
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The document discusses fundamental counting principles for determining the number of possible outcomes of independent events. It covers permutations, or arrangements that consider order, and combinations, which do not consider order. Examples include determining the number of possible outfits, license plates, and committee selections using formulas for permutations and combinations.Pre-Cal 40S May 14, 2009
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This document discusses poker hand combinations and permutations of numbers and objects. It contains:
1) Questions about the number of possible poker hands given a standard 52 card deck, including hands with two pairs.
2) Questions about forming numbers or selecting objects given different constraints, such as using each digit only once, or selecting committees from groups of people.
3) A question about creating a tree diagram to show outcomes of tossing coins on a table.Applied Math 40S March 4, 2008
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Combinations refer to arrangements of objects where order does not matter. Permutations refer to arrangements where order is important. The document provides examples of calculating combinations using the "choose" formula on a calculator to find the number of arrangements of objects from a larger set based on the number of objects arranged and the total number of objects. It also discusses using experiments with coins to simulate probability and calculating theoretical probabilities.Combinatroy and probability
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This document contains 52 probability and combinatorics word problems with multiple choice answers. The problems cover a wide range of topics including counting arrangements, combinations, probability calculations involving drawing balls from jars or flipping coins, and more. The correct answers to each problem are provided as multiple choice options.
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2. Permutations refer to the number of ways objects can be ordered or arranged, taking into account the order of the arrangement.
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The document discusses counting principles and examples of counting problems:
1) There are 12 possible outfits that can be made by combining 3 pairs of pants with 4 shirts.
2) The fundamental principle of counting states that if there are M ways to do the first thing and N ways to do the second, then there are M x N ways to do both.
3) Examples include counting possible phone numbers and combinations of letters to make words.New day 4 examples
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The document provides examples of counting permutations with restrictions. It discusses counting arrangements that must start or end with certain letters or digits, or that require certain items to be together or separate. The examples cover topics like counting letter arrangements with consonants and vowels alternating, counting numbers that are even or divisible by 5, and counting seating arrangements that require some people or books to be together or separate.Math 182 Final (HH) Name ____________________________.docx
Math 182 Final (HH) Name ____________________________.docxandreecapon
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Math 182 Final (HH) Name: ________________________________
Due by Tuesday 6/9 at 11:55 PM and completed exams should be mailed to
[email?protected]
Show all work (when possible) for full credit! Ample spacing to do the work and
give the answers has been provided for each problem, but if you find it absolutely
necessary to use additional page(s) for work, please attach it as the page(s)
immediately following the problem(s) that it corresponds to. It is expected that you
will use the table in the textbook to find the probabilities for the specific z-values
for any problems using a normal distribution.
Page 1 2 3 4 5 6 7 8 9 10 Total
Points
Possible 12 8 8 16 4 8 16 8 16 4 100
Points
Scored
1) Decks of Pinochle cards have a total of 48 cards and consist of 6 cards each of nines, tens, jacks, queens,
kings, and aces with there being two of each suit of each denomination (for example, there are 2 aces each of
diamonds, clubs, hearts, and spades for the total of 8 aces). Suppose that you are dealt a 8-card hand from a
deck of Pinochle cards. What is the probability that:
a) you are dealt at most 2 clubs?
b) you are dealt exactly 3 queens?
2) Suppose that you roll a pair of 16-sided dice (with the sides numbered 1-16) a total of 125 times. What is
the probability that you will get a sum of 30 at least two times?
3) A mall has three department stores, J C Penney, Macy¡¯s, and Sears. A survey of 2,800 people exiting the
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Sears, 134 made a purchase at J C Penney and Macy¡¯s, 203 made a purchase at J C Penney and Sears, 297 of
them made a purchase at Macy¡¯s and Sears, and 82 of them made a purchase at all three stores.
a) How many people made a purchase at Sears but did not make a purchase at Macy¡¯s?
b) How many people made a purchase at exactly one of the three stores?
4) Based upon statistical studies it has been found that 3.36% of all births in the United States will result in
twins being born. If 32,300 births are selected at random what is the probability that:
a) between 1,000 and 1,100 of them (inclusive) will result in twins being born?
b) at most 1,125 of them will result in twins being born?
5) Suppose an unfair coin comes up heads 39.1% of the time if it is flipped. If the coin is flipped 11 times,
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The document discusses the fundamental principle of counting and provides examples to illustrate how to use it to calculate the number of possible outcomes in different scenarios. The principle states that if one event can occur in m ways, a second in n ways, and a third in r ways, then the total number of outcomes is m x n x r. Examples include answering true/false questions, routes between cities, and rolling dice. Exercises provide additional practice problems and their solutions.Probability And Combinations
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Day 7 examples u6w14
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Learn how Responsive replaced embedded RocksDB with ScyllaDB in Kafka Streams, simplifying the architecture and unlocking massive availability and scale. The talk covers unbundling stream processors, key ScyllaDB features tested, and lessons learned from the transition.Endpoint Backup: 3 Reasons MSPs Ignore It
Endpoint Backup: 3 Reasons MSPs Ignore ItMSP360
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Many MSPs overlook endpoint backup, missing out on additional profit and leaving a gap that puts client data at risk.
Join our webinar as we break down the top challenges of endpoint backup¡ªand how to overcome them.Early Adopter's Guide to AI Moderation (Preview)
Early Adopter's Guide to AI Moderation (Preview)nick896721
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Early Adopter's Guide to AI Moderation preview by User Interviews.Transform Your Future with Front-End Development Training
Transform Your Future with Front-End Development TrainingVtechlabs
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Kickstart your career in web development with our front-end web development course in Vadodara. Learn HTML, CSS, JavaScript, React, and more through hands-on projects and expert mentorship. Our front-end development course with placement includes real-world training, mock interviews, and job assistance to help you secure top roles like Front-End Developer, UI/UX Developer, and Web Designer.
Join VtechLabs today and build a successful career in the booming IT industry!DAO UTokyo 2025 DLT mass adoption case studies IBM Tsuyoshi Hirayama (ƽɽÒã)
DAO UTokyo 2025 DLT mass adoption case studies IBM Tsuyoshi Hirayama (ƽɽÒã)Tsuyoshi Hirayama
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DAO UTokyo 2025
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https://utbciii.com/2024/12/12/announcing-dao-utokyo-2025-conference/
Session 1 :DLT mass adoption
IBM Tsuyoshi Hirayama (ƽɽÒã)SMART SENTRY CYBER THREAT INTELLIGENCE IN IIOT
SMART SENTRY CYBER THREAT INTELLIGENCE IN IIOTTanmaiArni
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SMART SENTRY CYBER THREAT INTELLIGENCE IN IIOTDevNexus - Building 10x Development Organizations.pdf
DevNexus - Building 10x Development Organizations.pdfJustin Reock
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Developer Experience is Dead! Long Live Developer Experience!
In this keynote-style session, we¡¯ll take a detailed, granular look at the barriers to productivity developers face today and modern approaches for removing them. 10x developers may be a myth, but 10x organizations are very real, as proven by the influential study performed in the 1980s, ¡®The Coding War Games.¡¯
Right now, here in early 2025, we seem to be experiencing YAPP (Yet Another Productivity Philosophy), and that philosophy is converging on developer experience. It seems that with every new method, we invent to deliver products, whether physical or virtual, we reinvent productivity philosophies to go alongside them.
But which of these approaches works? DORA? SPACE? DevEx? What should we invest in and create urgency behind today so we don¡¯t have the same discussion again in a decade?UiPath Automation Developer Associate Training Series 2025 - Session 1
UiPath Automation Developer Associate Training Series 2025 - Session 1DianaGray10
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Welcome to UiPath Automation Developer Associate Training Series 2025 - Session 1.
In this session, we will cover the following topics:
Introduction to RPA & UiPath Studio
Overview of RPA and its applications
Introduction to UiPath Studio
Variables & Data Types
Control Flows
You are requested to finish the following self-paced training for this session:
Variables, Constants and Arguments in Studio 2 modules - 1h 30m - https://academy.uipath.com/courses/variables-constants-and-arguments-in-studio
Control Flow in Studio 2 modules - 2h 15m - https:/academy.uipath.com/courses/control-flow-in-studio
?? For any questions you may have, please use the dedicated Forum thread. You can tag the hosts and mentors directly and they will reply as soon as possible. Formal Methods: Whence and Whither? [Martin Fr?nzle Festkolloquium, 2025]![Formal Methods: Whence and Whither? [Martin Fr?nzle Festkolloquium, 2025]](https://cdn.slidesharecdn.com/ss_thumbnails/mf2025-250305164811-a0930761-thumbnail.jpg?width=560&fit=bounds)
Formal Methods: Whence and Whither? [Martin Fr?nzle Festkolloquium, 2025]Jonathan Bowen
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Alan Turing arguably wrote the first paper on formal methods 75 years ago. Since then, there have been claims and counterclaims about formal methods. Tool development has been slow but aided by Moore¡¯s Law with the increasing power of computers. Although formal methods are not widespread in practical usage at a heavyweight level, their influence as crept into software engineering practice to the extent that they are no longer necessarily called formal methods in their use. In addition, in areas where safety and security are important, with the increasing use of computers in such applications, formal methods are a viable way to improve the reliability of such software-based systems. Their use in hardware where a mistake can be very costly is also important. This talk explores the journey of formal methods to the present day and speculates on future directions.
What Makes "Deep Research"? A Dive into AI Agents
What Makes "Deep Research"? A Dive into AI AgentsZilliz
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About this webinar:
Unless you live under a rock, you will have heard about OpenAI¡¯s release of Deep Research on Feb 2, 2025. This new product promises to revolutionize how we answer questions requiring the synthesis of large amounts of diverse information. But how does this technology work, and why is Deep Research a noticeable improvement over previous attempts? In this webinar, we will examine the concepts underpinning modern agents using our basic clone, Deep Searcher, as an example.
Topics covered:
Tool use
Structured output
Reflection
Reasoning models
Planning
Types of agentic memoryFTSG TRENDS REPORT 2025 as seen at #SXSW2025
FTSG TRENDS REPORT 2025 as seen at #SXSW2025HUB INSTITUTE
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Source : Future Today Strategy Group!
https://ftsg.com/wp-content/uploads/2025/03/FTSG_2025_TR_FINAL_LINKED.pdf
and https://ftsg.com/trends/Cloud of everything Tech of the 21 century in Aviation
Cloud of everything Tech of the 21 century in AviationAssem mousa
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AI, Block chain, Digital Currency, Cloud, Cloud of Things, Tactile Internet, Digital Twins, IOT, AR, VR, MR, U commerce, data and robotics."
EaseUS Partition Master Crack 2025 + Serial Key
EaseUS Partition Master Crack 2025 + Serial Keykherorpacca127
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https://ncracked.com/7961-2/
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EASEUS Partition Master Crack is a professional hard disk partition management tool and system partition optimization software. It is an all-in-one PC and server disk management toolkit for IT professionals, system administrators, technicians, and consultants to provide technical services to customers with unlimited use.
EASEUS Partition Master 18.0 Technician Edition Crack interface is clean and tidy, so all options are at your fingertips. Whether you want to resize, move, copy, merge, browse, check, convert partitions, or change their labels, you can do everything with a few clicks. The defragmentation tool is also designed to merge fragmented files and folders and store them in contiguous locations on the hard drive.
Computational Photography: How Technology is Changing Way We Capture the World
Computational Photography: How Technology is Changing Way We Capture the WorldHusseinMalikMammadli
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? Computational Photography (Computer Vision/Image): How Technology is Changing the Way We Capture the World
He? d¨¹?¨¹nm¨¹s¨¹n¨¹zm¨¹, m¨¹asir smartfonlar v? kameralar nec? bu q?d?r g?z?l g?r¨¹nt¨¹l?r yarad?r? Bunun sirri Computational Fotoqrafiyas?nda(Computer Vision/Imaging) gizlidir¡ª??kill?ri ??km? v? emal etm? ¨¹sulumuzu t?kmill??dir?n, komp¨¹ter elmi il? fotoqrafiyan?n inqilabi birl??m?si.[Webinar] Scaling Made Simple: Getting Started with No-Code Web Apps![[Webinar] Scaling Made Simple: Getting Started with No-Code Web Apps](https://cdn.slidesharecdn.com/ss_thumbnails/webinarscalingmadesimplegettingstartedwithno-codewebapps-mar52025-250305183437-f03c78a3-thumbnail.jpg?width=560&fit=bounds)
[Webinar] Scaling Made Simple: Getting Started with No-Code Web AppsSafe Software
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Ready to simplify workflow sharing across your organization without diving into complex coding? With FME Flow Apps, you can build no-code web apps that make your data work harder for you ¡ª fast.
In this webinar, we¡¯ll show you how to:
Build and deploy Workspace Apps to create an intuitive user interface for self-serve data processing and validation.
Automate processes using Automation Apps. Learn to create a no-code web app to kick off workflows tailored to your needs, trigger multiple workspaces and external actions, and use conditional filtering within automations to control your workflows.
Create a centralized portal with Gallery Apps to share a collection of no-code web apps across your organization.
Through real-world examples and practical demos, you¡¯ll learn how to transform your workflows into intuitive, self-serve solutions that empower your team and save you time. We can¡¯t wait to show you what¡¯s possible!Unlocking DevOps Secuirty :Vault & Keylock
Unlocking DevOps Secuirty :Vault & KeylockHusseinMalikMammadli
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DevOps i? t?hl¨¹k?sizliyi sizi maraqland?r?r? ?st?r developer, ist?r t?hl¨¹k?sizlik m¨¹h?ndisi, ist?rs? d? DevOps h?v?skar? olun, bu t?dbir ??b?k?l??m?k, bilikl?rinizi b?l¨¹?m?k v? DevSecOps sah?sind? ?n son t?cr¨¹b?l?ri ?yr?nm?k ¨¹?¨¹n m¨¹k?mm?l f¨¹rs?tdir!
Bu workshopda DevOps infrastrukturlar?n?n t?hl¨¹k?sizliyini nec? art?rmaq bar?d? dan??acay?q. DevOps sisteml?ri qurulark?n avtomatla?d?r?lm??, y¨¹ks?k ?l?atan v? etibarl? olmas? il? yana??, h?m d? t?hl¨¹k?sizlik m?s?l?l?ri n?z?r? al?nmal?d?r. Bu s?b?bd?n, DevOps komandolar?n?n t?hl¨¹k?sizliy? y?n?lmi? praktikalara riay?t etm?si vacibdir.
Inside Freshworks' Migration from Cassandra to ScyllaDB by Premkumar Patturaj
Inside Freshworks' Migration from Cassandra to ScyllaDB by Premkumar PatturajScyllaDB
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Freshworks migrated from Cassandra to ScyllaDB to handle growing audit log data efficiently. Cassandra required frequent scaling, complex repairs, and had non-linear scaling. ScyllaDB reduced costs with fewer machines and improved operations. Using Zero Downtime Migration (ZDM), they bulk-migrated data, performed dual writes, and validated consistency.
Day 1 examples u7w14
- 1. Fundamental Counting Principle Ex 1) Sportschek sells 4 different styles of volleyball shoes. Each style is available in black or white. How many different possibilities of styles and colours can be purchased? The Fundamental Counting Principle If there are n different objects in one set and m different objects in a second set, then the number of ways of choosing one object from each set is n m.
- 2. Ex 2) Kelly has 4 shirts, 5 shorts, and 3 pairs of shoes to choose from. How many different ways can Kelly wear a shirt, shorts, and shoes? (ie how many different outfits could she create?) Ex 3) In how many ways can a president, VP, and secretary be chosen from a group of 6 people?
- 3. Ex 4) In how many ways can you arrange the letters ABC using all 3 letters? Ex 5) In how many ways can a committee choose a female president, a male secretary and a treasurer of either sex from a group of 7 males and 8 females? Ex 6) How many 3 digit numbers can be found that are less than 500 with no repeating digits?
- 4. Ex 7) How many phone numbers are possible in St. James beginning with 888 - . . . . ? (Reps allowed) Ex 8) There are 5 roads containing towns A and B (a) How many round trip routes are possible? (b) How many round trip routes are possible if a different road must be used on the return trip?
- 5. The Addition Counting Principle Ex. Student council consists of 5 female and 3 male students. In how many ways can a president and V.P. be chosen if the president and V.P. are to be of opposite sexes. Ex. How many positive integers less than 100 can be represented using only the digits 2, 4, 6. a) Repetitions allowed b) No repetitions allowed
- 6. Ex. How many positive even integers less than 1000 can be created using the digits 2, 3, 4, and 5? Ex. How many numbers of at most four different digits can be formed from the integers 3, 4, 5, 6, 7, 8, 9? Ex. How many numbers of at least 2 different digits can be formed by using the integers 1, 3, 5, 7?