A tea party is arranged for 16 people along two sides of a long table with eight chairs on each side...........

Mathematics (NDA) Permutation & Combination

A tea party is arranged for 16 people along two sides of a long table with eight chairs on each side. Four particular men wish to sit on one particular side and two particular men on the other side. The number of ways they can be seated is-

24 × 8! × 8!

. (8!)³

24 × 8! × 8!

16!

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Explanation:

Four people can be arranged on 8 chairs in ⁸P₄ ways, similarly two people can be arranged on 8 chairs on other side in ⁸P₂ways. Remaining 10 can be arranged in 10! Ways.

Therefore no. of ways people can be seated = 8!×8!×10! / 4! × 6! = 210×8!×8!