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Question

The number of ways in which 5 A's and 6 B's can be arranged in a row which reads the same backwards and forwards is N, Find the value of N/2

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Solution

Write out all the possibilities
This is possible because of the small size of the problem.
_ _ _ _ _ to be filled with 2 As and 3 Bs
AABBB, ABABB, ABBAB, ABBBA, BAABB, BABAB, BABBA, BBAAB, BBABA, BBBAA
Total: 10 different arrangements

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