Question

The number of ways in which 6 Boys and 5 Girls can sit in a row so that all the girls maybe together is

Answer 1

$5$ Girls can sit in a box.

So, there are total of $7$ boxes to rearrange.

$G_1{G}_2{G}_3{G}_4{G}_5{B}_1{B}_2{B}_3{B}_4{B}_5{B}_6$

Number of ways $=7!$

$\Rightarrow$ Also the girls can rearrange within the box by $5!$ ways.

$\Rightarrow$ Total number of ways $=5!\times 7!=5!7!$