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A gentleman invites a party of 10 guests to a dinner and places 6 of them at one table and the remaining 4 at another , the tables being round . the number of ways in which he can arrange the guests is ........?

A gentleman invites a party of 10 guests to a dinner and places 6 of them at one table and the remaining 4 at another , the tables being round . the number of ways in which he can arrange the guests is ........?

Grade:12

1 Answers

bibhash jha
15 Points
10 years ago

Number of ways in which he can divide the group in size of 6 and 4 is 6C4

each group can be arranged in (6-1)!+(4-1)! ways

therefore total number of ways = 6C4 x ( 5!+3!)

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