Question

A company has 12 male and 10 female employees, and needs to nominate 3 men and 3 women for the company bowling team. How many different teams can be formed?

Answer 1

12!/(3!×9!) + 10!/(3!×7!)

Answer 2

number of ways of choosing male employees
N1=12C3=12!/(3!9!)

number of ways of choosing female employees
N2=10C3=10!/(3!9!)

Number of possible teams
=N1*N2