MHT CET 2025 Mathematics question

The number of ways, in which 6 boys and 5 girls can sit at a round table, if no two girls are to sit together, is

(A)518400
(B)14400
(C)86400Correct
(D)17280

Answer: (C)

Solution

First seat the 6 boys around the table: circular arrangements . The 6 boys create 6 gaps between them (one between each pair of neighbours). To keep the girls apart, place the 5 girls in 5 of these 6 gaps, one per gap, in order: ways. Total , option (C).

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Question ID VK-100756