an employer interviews 8 people for 6 technical support posi

an employer interviews 8 people for 6 technical support positions in a company, and 4 of the 8 are men. If all 8 are qualified, in how many ways can the employer fill the technical support positions if exactly 3 are men?

Solution

Total people = 8

total position = 6

total men = 4

total female = 4

No. of ways will be given by:

# = (no. of ways to choose three man out of 4)*(no. of ways to choose 3 women out of 4)

= 4C3*4C3

= 4*4

= 16