Question 466337
a: Order doesn't matter, so it is 19C6 = (19*18*...*14)/6!


b: Choose the men separately, and the women separately. Hence there are 9C4*10C2 ways.


c: The probability is simply the answer to b) over the answer to a), assuming all combinations are equally likely.


d: We do d) the same way as we did b). There are 10C5*9C1 ways to select such a committee. Divide this by the total number to obtain the probability.