Question

The sales force of a business consists of 10 men and 10 women. A production unit of 4 people is set up at random. What is the probability that it will consist of 2 men an 2 women?

Answer 1

you are being asked to compute
\[\frac{\dbinom{10}{2}\times \dbinom{10}{2}}{\dbinom{20}{4}}\]

Answer 2

denominator is the number of ways to select 4 out of a set of 20
numerator is the number of ways to select 2 out of 10, times the number of ways to select 2 out of ten.
do you know how to compute these numbers?