permutation

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4 americans and 4 english men seated at round table , such as no two americans sit together ?

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Let us make the English man sit in alternative way on a round table so 4 English man can sit  on a round table in (4-1) ! = 3 ! = 6 ways

Now four Americans man can sit in 4P4 i.e. 4! = 4*3*2*1 = 24 ways

so the total number of ways = 24*6 = 144 ways  

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