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If John has pairs 5 different colors pairs of socks, how many orders can he wear them in over five days? Repetition is not allowed because John puts his socks in the wash at the end of the day.

User Mluc
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2 Answers

2 votes

Answer:

5!

Explanation:

Since John has five initial choices, must make five decisions, and cannot repeat, we use the factorial 5! to assess how many permutations exist.

User Trevor Austin
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3 votes

Answer:

120 ways

Explanation:

On the first day, John was 5 choices 5

On the second day he has 4 choices 4

On the third day he has 3 choices

On the fourth day he has 2 choices

On the fifth day he has 1 choice

5*4*3*2*1 = 120 different ways

User Corey Rondeau
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7.8k points