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In how many ways can 15 members of a council sit along a circular table, when the Secretary is to sit on one side of the Chairman and the Deputy Secretary on the other side
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The correct answer is:
$2 \times 12$ !
Since total members are 15 , but one is to left, because of circular condition, therefore remaining members are 14 but three special member constitute a member. Therefore required number of arrangements are 12 ! *2, because, chairman remains between the two specified persons and the person can sit in two ways.
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