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 

Options

• 518400

• 14400

• 86400

• 17280

Answer 1

86400

Explanation:

6 boys can sit at a round table in (6 – 1)! = 5! ways. Now, no two girls sit together, i.e., 5 girls are to be arranged in 6 empty seats between two consecutive boys, and the number of such arrangements will be ⁶P₅ = 6! 

Hence, required number of ways = 5! × 6! 

= 120 × 720 = 86400