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Question: Answered & Verified by Expert
In how many ways can 5 boys and 5 girls sit in a circle so that no two boys sit together
MathematicsPermutation CombinationJEE Main
Options:
  • A $5!\times 5$ !
  • B $4!\times 5$ !
  • C $\frac{5!\times 5!}{2}$
  • D None of these
Solution:
1554 Upvotes Verified Answer
The correct answer is: $4!\times 5$ !
Since total number of ways in which boys can occupy any place is $(5-1)!=4!$ and the 5 girls can be sit accordingly in 5 ! ways. Hence required number of ways are 4 ! * 5 !

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