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 ?  Choose the correct answer:
A) 9! * ⁷P₆
B) 6! * ⁷P₆
C) 9! * ⁷P₆
D) 6! * ⁷9₆
E) 7! * ⁷P₆
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   Answer:6! * ⁷P₆
<result>B</result>
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 ?