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a) How many ways are there four 8 men and 5 women to stand in a line such that no one men and one women

a) How many ways are there four 8 men and 5 women to stand in a line such that no

one men and one women stand next to each other.

b) How many ways are there to put five different employees into three indistinguishable

offices, when each office can contain at most four employees

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