The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is_________?

A. (6!)²
B. 6! * ⁷P₆
C. 2(6!)
D. 6! * 7

Explanation:

We can initially arrange the six boys in 6! ways.

Having done this, now three are seven places and six girls to be arranged. This can be done in ⁷P₆ ways.
Hence required number of ways = 6! * ⁷P₆