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In: Advanced Math

5. Of the 9-letter passwords formed by rearranging the letters AAAABBCCC (4 A’s, 2 B’s, and...

5. Of the 9-letter passwords formed by rearranging the letters AAAABBCCC (4 A’s, 2 B’s, and 3 C’s), I select one at random. Determine the following probabilities.

(a) Prob (my word is a palindrome and has no two C’s next to each other). 4 points

(b) Prob (my word has two C’s next to each other and the other C not next to them).

(c) Prob (my word has the three C’s next to each other and the B’s apart from each other).

Leave your probabilities with factorials in them.

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