1) you choose 3, possible ways: choose 3 women, 1 solution, choose 3 men; 3 solution, choose 2w 1m: \(\displaystyle{3}\cdot{4}={12}\), choose 2m 1w: \(\displaystyle{6}\cdot{3}={18}\). Total \(1+4+12+18=35\)

2) from 3 women you choose 2, that is 3 ways, and from 4 men you choose 1, that is four, multiplying \(3 \cdot 4=12\) ways.

3) there is 12 ways from 35, that means probability is \(\displaystyle\frac{{12}}{{35}}\).