Math Models Unit 5 Lesson 2 - Factorials, Permutations, and Combinations

1. Match the correct terms to the descriptions.

factorial - The multiplication of successive decreasing counting numbers, down to one permutation - The arrangement of objects in an order combination - An arrangement where order does not matter

11. You and your friends decide to form a committee to plan more activities for your group of 24 to do together. How many ways can 4 people be chosen for a planning committee?

10,626

12. How many ways can 6 people be chosen from a group of 24 for a planning committee?

134,596

6. 6! ÷ (4! x (6 - 4)!) = _____

15

8. ₆C₄ = _____

15

4. (6 - 4)! = _____

2

3. 4! = _____

24

5. 6! ÷ (6 - 4)! = _____

360

7. ₆P₄ = _____

360

9. You and 23 friends are going to the fair and plan to go on some of the rides. How many ways are there of picking groups of 2 from the 24 people to ride the Ferris wheel?

552

2. 6! = _____

720

10. You and 23 friends plan to eat at a concession stand which has tables that seat 6 people each. How many ways can the 24 of you be seated at tables of 6?

96,909,120