SOLUTION: How can an employer give four different pairs of shoes to four employees out of 15 employees? Is is C(15,4)? Thank you.

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Question 507234: How can an employer give four different pairs of shoes to four employees out of 15 employees? Is is C(15,4)?
Thank you.
Found 2 solutions by Edwin McCravy, richard1234:
Answer by Edwin McCravy(20063)   (Show Source): You can put this solution on YOUR website!
No.  That's the number of ways to pick the four employees.
Then for each of the C(15,4) ways to pick the employees, there
are P(4,4) or 4! ways to give them the shoes.  So
the answer is C(15,4)P(4,4) = 32760.

Edwin
Answer by richard1234(7193)   (Show Source): You can put this solution on YOUR website!
15C4 is simply the number of ways to choose four employees. Now you have to give four pairs of shoes to them. There are 4! = 24 ways to do this, so the number of ways is (15C4)*24. Or you could write it as 15P4 because we can give the first pair to one of 15 employees, the second pair to one of 14 employees, and so on.
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