Question

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?

Answer 1

Hello,

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

3P5=5*4*3/(3*2*1)=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)

Answer 2

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

formula is 5! / 3! * (5-3)! = 5*4*3*2*1 / 3*2*2 = 10 combinations

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