these are two independent events. meaning picking men from a group of men has no effect on picking women from group of women. so you have to multiply here.
Answer is E.
If you are trying to find possible number of 2 member committee then the answer would be
11c2+9c2+11c1*9c1 (you can pick 2M or 2W or 1M,1W)
Answer is E. Can somebody tell me what answer I may have found if I had added the 11C2 and 9C2 (55+36=91)?
I'm guessing that would've been the number of 2-member committees which had men and women separately. Is that right?