Question
Question: The no. of ways in which 6 boys and 6 girls can sit so that no two girls and no two boys are togethe...
The no. of ways in which 6 boys and 6 girls can sit so that no two girls and no two boys are together is
A
(∠16)2
B
7P6∠6
C
2(∠6)2
D
2∠6∠7
Answer
2(∠6)2
Explanation
Solution
Consider the 12 places in a row
| 1 | 2 | 3 | ……….. | 11 | 12 |
The boys can be arranged in the 6 odd places and the girls in 6 even places in ∠6 ∠6 ways. The boys and girls can be interchanged in 2 ways.
∴ Total 2(∠6)2 ways.