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Math Help - circular permutations

  1. #1
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    circular permutations

    in how many ways 8 indians 4 americans 4 englishmen can be seated around the circular table so that

    1.all persons of same nationality are sitting together
    2.no two englishmen sit together
    3.all the 4 englishmen do not sit together
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  2. #2
    MHF Contributor Unknown008's Avatar
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    Hint: Without restrictions the total number of ways the people can be seated is (8+4+4-1)! ways.
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