Question

In an office there are 8 male staffs and 8 female staffs. The management has decided to select few of its employees to form a committee that monitors the customer relationship. The management ensured that at least 2 female staffs should be selected for the committee and the committee can have 5 members only. In how many ways this committee can be formed

Answer 1

Total No. of Members Required = 5

Then We can Select them as

a) 2 female + 3 males

        OR

b) 3 females + 2 males

       OR

c) 4 females + 1 male

       OR

d) 5 Females

Hence, No of Ways = 8C2*8C3 + 8C3*8C2 + 8C4*8C1 + 8C5

                                = 3752