In how many ways, a committee of 3 men and 2 women can be

In how many ways, a committee of 3 men and 2 women can be formed out of a total of 4 men and 4 women ?

Total number of ways = ⁴C₃ x ⁴C₂ = [4! / {3! x 1!}] x [4! /{2! x 2!}]
= (4 x 4 x 3 x 2 x 1) / (2 x 2)
= 4 x 6
= 24