Of the 6 letter passwords formed using six of the seven letters AAAABBC (four A's, two B's, and a C) I select one at random

8. Of the 6-letter passwords formed using six of the seven letters AAAABBC (four A's, two B's, and a C), I select one at random. Determine: (a) Prob (my password is a palindrome) (b) Prob (my password begins and ends with A) Leave your probabilities in terms of factorials