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Question: Answered & Verified by Expert
The number of ways in which 6 men and 5 women can dine at a round table if no two women are to sit together is given by
MathematicsPermutation CombinationJEE Main
Options:
  • A $6!\times 5$ !
  • B $30$
  • C $5!\times 4$ !
  • D $7!\times 5$ !
Solution:
2193 Upvotes Verified Answer
The correct answer is: $6!\times 5$ !
No. of ways in which 6 men can be arranged at a round table $=(6-1)!$
Now women can be arranged in 6! ways.
Total Number of ways $=6!\times 5!$

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