In how many ways can 8 men and 8 women stand in a line, alternating in gender
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i think in 8 factorial ways...
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Total:16 people( 8 men 8 women)
Let 0 and _ represent Men and women respectively
There are 2 possible ways of arrangement:
_0_0_0_0_0_0_0_0
or 0_0_0_0_0_0_0_0_
so there are 2 ways and the 8 men and women each can be arranged in 8! ways
So, the final answer is 2x8!x8!
Let 0 and _ represent Men and women respectively
There are 2 possible ways of arrangement:
_0_0_0_0_0_0_0_0
or 0_0_0_0_0_0_0_0_
so there are 2 ways and the 8 men and women each can be arranged in 8! ways
So, the final answer is 2x8!x8!
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