4.2 combinations
- 2. ï‚¡ Unordered groupings are called combinations. ï‚¡ The # of combinations of r objects, taken from n distinct objects is nCr. nCr =
- 3. ï‚¡ Find ï‚¡ 5C2 ï‚¡ 9C9 the # of combinations:
- 4. ï‚¡ Find the # of combinations 10C6
- 5. ï‚¡ A standard deck of 52 cards has 4 suits with 13 different cards in each suit.
- 6. ï‚¡ If the order of cards is not important, how many different 5-card hands are possible?
- 7. ï‚¡ In how many of these are all five cards the same suit?
- 8. ï‚¡ How many different 7-card hands are possible? (order is not important)
- 9.  Press menu  Choose 5: Probability  Choose 3: Combinations  You will see nCr()  Enter n , r inside the ( )  Ex: 5C2  Press should look like nCr(5,2) enter
- 10. ï‚¡ To find the # of ways both event A and B can occur: ï‚¡ Multiply the two combinations.
- 11. ï‚¡ A pizza place offers 6 veggie and 4 meat topping choices. ï‚¡ How many different pizzas can you order with 2 veggies and 1 meat?
- 12. ï‚¡ You are taking a trip and have your choice of 5 cities and 7 attractions to visit. ï‚¡ How many ways can you visit 3 cities and 4 attractions?
- 13. ï‚¡ How many possible 5-card hands contain exactly 3 kings?
- 14. ï‚¡ How many different 7-card hands contain exactly 4 aces?