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# In how many ways can 15 people be seated around two round

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Joined: 15 Aug 2003
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In how many ways can 15 people be seated around two round [#permalink]  20 Sep 2003, 10:14
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In how many ways can 15 people be seated around two round tables with seating capacities of 7 and 8 people?

1) 15!/(8!)
2) 7!*8!
3) (15C8)*6!*7!
4) 2*(15C7)*6!*7!
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Joined: 21 Jul 2003
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Location: India
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8 people can be chosen from a group of 15 in 15C8 ways & seated in a round table in 7! (since it is round, one person can be taken as reference)ways. In the other table 6! ways of arrangement will be possible.
Hence the result is 15C8*6!*7!.
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