Question

A manager is scheduling 24 employees for different shifts. If he needs to choose 8 employees for each shift, how many different groups of eight employees can he make without repetition?

Answer 1

3

Explanation:

24 employees ÷8 each group of employees

=3

Answer 2

735,471

Explanation:

There are 735,471 different combinations of 8 employees.There are 24 total employees that the manager must schedule and he will make groups of 8 for each shift. So n=24 and r=8. Then Cr=24C8=24!/8(24−8)!=24!/8!16!=24⋅23⋅22⋅21⋅20⋅19⋅18⋅17⋅16!/(8⋅7⋅6⋅⋅⋅1)⋅16!=735,471