Question

In how many different ways 4 boys and 3 girls can sit on a bench such that girls always sit together

Answer 1

its answer is
P(5,5) x P(3,3)

= 5! x 3!
= 120 x 6
= 720

Answer 2

Answer:  The result is 720.

Step-by-step explanation: We are given that there are 4 boys and 3 girls to be seated on a bench.

If there is no extra condition on the arrangement, then the number of ways in which they can sit on the bench will be 7! = 5040 ways.

But, since the girls will always sit together, so we can treat them as one. Therefore, there will be 5! ways in which they can sit. Also, 3 girls can sit in 3! ways among themselves, so the total number of ways

= 5! × 3!

=120 × 6

=720.

Thus, the total number of ways is 720.