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

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Advance Math

5. Of the 9-letter passwords formed by rearranging the lettersAAAABBCCC (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 toeach other). 4 points

(b) Prob (my word has two C’s next to each other and the other Cnot next to them).

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

Leave your probabilities with factorials in them.

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