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Algebra Permutations And Combinations

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In how many ways can 5 boys and 5 girls sit in a circle so that no two boys sit together

A. 5! × 5!

B. 4! × 5!

C. 5! × 5!/2

D. 4! × 5!/2

E. None of the above

View Answer

Correct choice: B

Explanation:

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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Eamcet Mathematics Algebra Permutations And Combinations

Eamcet Mathematics
Algebra Permutations And Combinations