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[Maximum mark: 8] Eight boys and two girls sit on a bench. Determine the number of possible arrangements, given that (a) the girls do not

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[Maximum mark: 8] Eight boys and two girls sit on a bench. Determine the number of possible arrangements, given that (a) the girls do not sit together; [3] (b) the girls do not sit on either end; [2] (c) the girls do not sit on either end and do not sit together. [3]

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