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QuizMultiple Choice

Permutations and Combinations

Question 1 • HCISD-Mathematical Models with Applications B-CR SUMMER

Suppose you have seven different sweatshirts, and wish to wear a different one each day of the week. In how many ways can this be done?

Answer
A
49 different ways
B
1 different way
C
210 different ways
D
5040 different ways

Explanation

There are 7 choices for Monday, then 6 remaining choices for Tuesday, and so on until 1 choice for Sunday. Multiply these possibilities: 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5,040. The correct choice is “5,040 different ways.”

AI-written and checked against the verified answer.

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