A committee of three boys and three girls is to be selected from a class of 14 boys and 17 girls. In how many ways can the committee be selected if: (a) Ana has to be on the committee? (b) the girls must include either Roberta or Priya, but not both?
For part a), I got the answer 43680 by doing 14C3 x 16C2 and the answer is correct but however, for part b) the answer I got is 76440 by doing 14C3 x 15C2 x 2 but the answer is wrong. Please Help!