QJEEM17Ma518b: JEE Main 2017 Mathematics - Class 11 JEEM17Ma518b Solution: The number of ways in which 5 boys and 3 girls can be seated on …

Number of ways = Total - when B₁ and G₁ sit together

Total ways to seat 8 people on round table = (8 - 1)! = 7!

When B₁ and G₁ sit together then assume B₁ and G₁ are one people, so total 7 people are there and among B₁ and G₁ they can sit 2! ways.

So total no of ways when B₁ and G₁ sit together
= (7 - 1)! $\times$ 2! = 6! $\times$ 2!

Number of ways = 7! - 6! $\times$ 2! = 6! $\times$ (7 - 2) = 5 $\times$ 6!