I've this one to solve, but I just can't figure it. It is probably quite simple however.
A 4 person leadership committee is randomly chosen from a group of 24 candidates. Ten of the candidates are men, and 14 are women. Find the probability that:
A. The committe is all male or all female
B. The commitee has at least 1 man or at least 1 woman
I know this is using mutually excluisive/inclusive events, and possibly a permutation/combination thing somewhere.
Thanks in advance folks!