16
QuizMultiple Choice

Permutations and Combinations

Question 16 • HCISD-Mathematical Models with Applications B-CR SUMMER

A shirt company has 3 designs each of which can be made with short or long sleeves. There are 7 color patterns available. How many different types of shirts are available from this company?

Answer
A
42
B
12
C
21
D
10

Explanation

Each shirt type is determined by its design, sleeve length, and color pattern. Multiply the choices: 3 designs × 2 sleeve lengths × 7 color patterns = 42 different types. So the correct choice is A, 42.

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