From a group of 5 women and 7 men, how many different committees consisting of 2 women and 3 men can be formed?
This one's easy. There's two experiments (ex 1 = committees of men)(ex 2 = committees of women) so it's just $5 \choose 2$$7 \choose 3$.
But the next question is
What if 2 of the men are feuding and refuse to serve on the committee together?
I don't understand this question at all.