MHT CET 2025 Mathematics question

21 friends were invited for a party. Two round tables can accommodate 12 and 9 friends each. The number of ways of the seating arrangements of friends is ....

(A)
(B)
(C)
(D)Correct

Answer: (D)

Solution

First choose which 12 of the 21 friends sit at the 12-seat table: ways (the other 9 go to the 9-seat table). Seating people around a round table can be done in ways, giving for the 12-seat table and for the 9-seat table. So the exact number of arrangements

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Question ID VK-102269