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Question: The no. of ways in which 6 boys and 6 girls can be seated in a row so that no two girls are together...

The no. of ways in which 6 boys and 6 girls can be seated in a row so that no two girls are together

A

( ∠6)2

B

∠7 ∠6

C

2(∠6)2

D

2∠7∠6

Answer

∠7 ∠6

Explanation

Solution

First, the six boys can be arranges in ∠6 ways. Then the 6 girls can be arranged in the 7 intermediate positions on 7P67P_{6} ways or ∠7 ways. Hence the regd. ways are ∠7 ∠6.