MAF101U1C1S1-VL 2.pptx
- 4. FUNDAMENTAL PRINCIPLE OF MULTIPLICATION If there are two operations such that one of them can be performed in m ways, and when it has been performed in anyone of these m ways, the second operation can be performed in n ways then the two operations in succession can be performed in (m n) ways. 2 www.collegedekho.com/learn Permutations
- 6. FUNDAMENTAL PRINCIPLE OF ADDITION If there are two operations such that they can be performed independently in m and n ways respectively then either of the two operations can be performed in (m + n) ways. 4 www.collegedekho.com/learn Permutations
- 8. PERMUTATIONS The different arrangements which can be made out of a given number of things by taking some or all at a time, are called permutations. In permutations, the order of arrangement of the objects is taken into consideration. When the order is changed, a different permutation is obtained. 6 www.collegedekho.com/learn Permutations
- 10. 8 www.collegedekho.com/learn Permutations FACTORIAL NOTATION Let n be a positive integer. Then, the continued product of first n natural numbers is called factorial n, to be denoted by n !, or n . Also, we define 0 ! = 1. When n is negative or a fraction, n ! is not defined. Thus, n ! = n(n - 1) (n - 2)3 . 2 . 1.
- 12. PERMUTATIONS WHEN ALL THE OBJECTS ARE DISTINCT 10 www.collegedekho.com/learn Permutations
Editor's Notes
- #2: In any case if these notes are not prepared, same amount of time goes in the shoot after every small video, as teacher has to make these slides/notes on the smart board to finish the video in given time limit. Teachers life will become easier. We need to see if the teacher has their own notes, if so then they can be arranged in our format when we sit with the teacher Lot of time goes in writing questions on screen, saves teachers efforts.
- #3: In any case if these notes are not prepared, same amount of time goes in the shoot after every small video, as teacher has to make these slides/notes on the smart board to finish the video in given time limit. Teachers life will become easier. We need to see if the teacher has their own notes, if so then they can be arranged in our format when we sit with the teacher Lot of time goes in writing questions on screen, saves teachers efforts.
- #4: In any case if these notes are not prepared, same amount of time goes in the shoot after every small video, as teacher has to make these slides/notes on the smart board to finish the video in given time limit. Teachers life will become easier. We need to see if the teacher has their own notes, if so then they can be arranged in our format when we sit with the teacher Lot of time goes in writing questions on screen, saves teachers efforts.
- #5: In any case if these notes are not prepared, same amount of time goes in the shoot after every small video, as teacher has to make these slides/notes on the smart board to finish the video in given time limit. Teachers life will become easier. We need to see if the teacher has their own notes, if so then they can be arranged in our format when we sit with the teacher Lot of time goes in writing questions on screen, saves teachers efforts.
- #6: In any case if these notes are not prepared, same amount of time goes in the shoot after every small video, as teacher has to make these slides/notes on the smart board to finish the video in given time limit. Teachers life will become easier. We need to see if the teacher has their own notes, if so then they can be arranged in our format when we sit with the teacher Lot of time goes in writing questions on screen, saves teachers efforts.
- #7: In any case if these notes are not prepared, same amount of time goes in the shoot after every small video, as teacher has to make these slides/notes on the smart board to finish the video in given time limit. Teachers life will become easier. We need to see if the teacher has their own notes, if so then they can be arranged in our format when we sit with the teacher Lot of time goes in writing questions on screen, saves teachers efforts.
- #8: In any case if these notes are not prepared, same amount of time goes in the shoot after every small video, as teacher has to make these slides/notes on the smart board to finish the video in given time limit. Teachers life will become easier. We need to see if the teacher has their own notes, if so then they can be arranged in our format when we sit with the teacher Lot of time goes in writing questions on screen, saves teachers efforts.
- #9: In any case if these notes are not prepared, same amount of time goes in the shoot after every small video, as teacher has to make these slides/notes on the smart board to finish the video in given time limit. Teachers life will become easier. We need to see if the teacher has their own notes, if so then they can be arranged in our format when we sit with the teacher Lot of time goes in writing questions on screen, saves teachers efforts.
- #10: In any case if these notes are not prepared, same amount of time goes in the shoot after every small video, as teacher has to make these slides/notes on the smart board to finish the video in given time limit. Teachers life will become easier. We need to see if the teacher has their own notes, if so then they can be arranged in our format when we sit with the teacher Lot of time goes in writing questions on screen, saves teachers efforts.
- #11: In any case if these notes are not prepared, same amount of time goes in the shoot after every small video, as teacher has to make these slides/notes on the smart board to finish the video in given time limit. Teachers life will become easier. We need to see if the teacher has their own notes, if so then they can be arranged in our format when we sit with the teacher Lot of time goes in writing questions on screen, saves teachers efforts.
- #12: In any case if these notes are not prepared, same amount of time goes in the shoot after every small video, as teacher has to make these slides/notes on the smart board to finish the video in given time limit. Teachers life will become easier. We need to see if the teacher has their own notes, if so then they can be arranged in our format when we sit with the teacher Lot of time goes in writing questions on screen, saves teachers efforts.
- #13: In any case if these notes are not prepared, same amount of time goes in the shoot after every small video, as teacher has to make these slides/notes on the smart board to finish the video in given time limit. Teachers life will become easier. We need to see if the teacher has their own notes, if so then they can be arranged in our format when we sit with the teacher Lot of time goes in writing questions on screen, saves teachers efforts.
- #14: In any case if these notes are not prepared, same amount of time goes in the shoot after every small video, as teacher has to make these slides/notes on the smart board to finish the video in given time limit. Teachers life will become easier. We need to see if the teacher has their own notes, if so then they can be arranged in our format when we sit with the teacher Lot of time goes in writing questions on screen, saves teachers efforts.
- #15: In any case if these notes are not prepared, same amount of time goes in the shoot after every small video, as teacher has to make these slides/notes on the smart board to finish the video in given time limit. Teachers life will become easier. We need to see if the teacher has their own notes, if so then they can be arranged in our format when we sit with the teacher Lot of time goes in writing questions on screen, saves teachers efforts.
- #16: In any case if these notes are not prepared, same amount of time goes in the shoot after every small video, as teacher has to make these slides/notes on the smart board to finish the video in given time limit. Teachers life will become easier. We need to see if the teacher has their own notes, if so then they can be arranged in our format when we sit with the teacher Lot of time goes in writing questions on screen, saves teachers efforts.
- #17: In any case if these notes are not prepared, same amount of time goes in the shoot after every small video, as teacher has to make these slides/notes on the smart board to finish the video in given time limit. Teachers life will become easier. We need to see if the teacher has their own notes, if so then they can be arranged in our format when we sit with the teacher Lot of time goes in writing questions on screen, saves teachers efforts.
- #18: In any case if these notes are not prepared, same amount of time goes in the shoot after every small video, as teacher has to make these slides/notes on the smart board to finish the video in given time limit. Teachers life will become easier. We need to see if the teacher has their own notes, if so then they can be arranged in our format when we sit with the teacher Lot of time goes in writing questions on screen, saves teachers efforts.
- #19: In any case if these notes are not prepared, same amount of time goes in the shoot after every small video, as teacher has to make these slides/notes on the smart board to finish the video in given time limit. Teachers life will become easier. We need to see if the teacher has their own notes, if so then they can be arranged in our format when we sit with the teacher Lot of time goes in writing questions on screen, saves teachers efforts.
- #20: In any case if these notes are not prepared, same amount of time goes in the shoot after every small video, as teacher has to make these slides/notes on the smart board to finish the video in given time limit. Teachers life will become easier. We need to see if the teacher has their own notes, if so then they can be arranged in our format when we sit with the teacher Lot of time goes in writing questions on screen, saves teachers efforts.
- #21: In any case if these notes are not prepared, same amount of time goes in the shoot after every small video, as teacher has to make these slides/notes on the smart board to finish the video in given time limit. Teachers life will become easier. We need to see if the teacher has their own notes, if so then they can be arranged in our format when we sit with the teacher Lot of time goes in writing questions on screen, saves teachers efforts.
- #22: In any case if these notes are not prepared, same amount of time goes in the shoot after every small video, as teacher has to make these slides/notes on the smart board to finish the video in given time limit. Teachers life will become easier. We need to see if the teacher has their own notes, if so then they can be arranged in our format when we sit with the teacher Lot of time goes in writing questions on screen, saves teachers efforts.
- #23: In any case if these notes are not prepared, same amount of time goes in the shoot after every small video, as teacher has to make these slides/notes on the smart board to finish the video in given time limit. Teachers life will become easier. We need to see if the teacher has their own notes, if so then they can be arranged in our format when we sit with the teacher Lot of time goes in writing questions on screen, saves teachers efforts.
- #24: In any case if these notes are not prepared, same amount of time goes in the shoot after every small video, as teacher has to make these slides/notes on the smart board to finish the video in given time limit. Teachers life will become easier. We need to see if the teacher has their own notes, if so then they can be arranged in our format when we sit with the teacher Lot of time goes in writing questions on screen, saves teachers efforts.
- #25: In any case if these notes are not prepared, same amount of time goes in the shoot after every small video, as teacher has to make these slides/notes on the smart board to finish the video in given time limit. Teachers life will become easier. We need to see if the teacher has their own notes, if so then they can be arranged in our format when we sit with the teacher Lot of time goes in writing questions on screen, saves teachers efforts.
- #26: In any case if these notes are not prepared, same amount of time goes in the shoot after every small video, as teacher has to make these slides/notes on the smart board to finish the video in given time limit. Teachers life will become easier. We need to see if the teacher has their own notes, if so then they can be arranged in our format when we sit with the teacher Lot of time goes in writing questions on screen, saves teachers efforts.