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From 5 employees at a company, a group of 3 employees will be chosen to work on a project. How many different groups of 3 employees can be chosen?

Verified Answer :

caylus

Hello,

aPb=b(b-1)(b-2)....(b-a+1) / a!

3P5=543/(321)=10

If we name the number of the employers 1,2,3,4,5

Here are the choices:

123,124,125,134,135,145,234,235,245,345 (total 10 choices)

Based on the problem above the answer is 10. Below is the solution: 

formula is 5! / 3! (5-3)! = 54321 / 32*2 = 10 combinations

There are 10 combination that are from 5 employees taken 3 at a time.