1. Section 10.1 A Counting Principle The Counting Principle andFactorials

3. Choices: Meat

4. Choices: Meat Bread

5. Choices: Meat Bread Type of Sandwich

7. Next weekend, Sandy is going to the beach. She is only taking a backpack with her, carrying three t-shirts (blue, green, and pink) and two pairs of shorts (white and jeans.) For footwear, she is taking her sandals and flip-flops. How many different outfits can she create with the things she packed? Make a “tree diagram” below which illustrates every possible outfit. List all combinations, using abbreviations. For example: BWS (for blue t-shirt, white shorts, and sandals). Choices: T-shirtShortsFootwear Outfit

8. 8 x 2 x 12 x 6 = 1152 different dinners Choices: Entrees: Salads: Drinks: Desserts:

9. REPEATS ARE ALLOWED a) Number of plates = 10 x 10 x 10 x 26 x 26 x 26 = 17,576,000 REPEATS ARE NOT ALLOWED b) Number of plates = 10 x 9 x 8 x 26 x 25 x 24 = 11,232,000

10. Five girls are running in a race. How many different ways can they finish?

11. 5 x 4 x 3 x 2 x 1 1 st place

12. Five girls are running in a race. How many different ways can they finish? 5 x 4 x 3 x 2 x 1 2 nd place

13. Five girls are running in a race. How many different ways can they finish? 5 x 4 x 3 x 2 x 1 3 rd place

14. Five girls are running in a race. How many different ways can they finish? 5 x 4 x 3 x 2 x 1 4 th place

15. Five girls are running in a race. How many different ways can they finish? 5 x 4 x 3 x 2 x 1 5 th place

16. Five girls are running in a race. How many different ways can they finish? 5 x 4 x 3 x 2 x 1 5 ! “five factorial”