Answers HCISD-Mathematical Models with Applications B-CR SUMMER Permutations and CombinationsQuestion 6

6

AssignmentMultiple Choice

Permutations and Combinations

Question 6 • HCISD-Mathematical Models with Applications B-CR SUMMER

Tobias’s closet has 1 red hat and 1 black hat; 1 white shirt, 1 black shirt, and 1 black-and-white-striped shirt; and 1 pair of black pants and 1 pair of blue pants. He is picking an outfit by reaching into his closet and randomly choosing a hat, a shirt, and a pair of pants. How many possible outfit combinations are there?

Answer

A

3

B

7

C

12

D

16

Explanation

There are 2 choices of hat, 3 choices of shirt, and 2 choices of pants. For each hat, Tobias can pair it with any shirt and any pants, so multiply the choices: 2 × 3 × 2 = 12. The correct choice is 12 possible outfit combinations.

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