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Of the 15-letter passwords formed from 10 A's, 3 B's, and 2 C's, I select one at random. Determine the following probabilities. (a) Prob (no

Of the 15-letter passwords formed from 10 A's, 3 B's, and 2 C's, I select one at random.

Determine the following probabilities.

(a) Prob (no B appears anywhere between the two C's).

(b) Prob (two B's appear together but not next to the third B). 4 points

(c) Prob (my word is a palindrome with no two B's next to each other).

Leave your probabilities in terms ofmn, Pnm, Cmn, and factorials.

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