The number of ways in which 5 boys and 3 girls can be seated on a round table, if a particular boy B₁ and a particular girl G₁ never sit adjacent to each other, is

Step-by-step solution

aligned & First, we arrange 4 boys and 2 girls (excluding & B ₁ and G ₁ ) around the table, which can be done & in 5! ways. & In any such arrangement, B ₁ and G ₁ can be & arranged in 6 available gaps in ^6 P ₂=6 5 ways. & Total number of arrangements =5! 6 5 & =6! 5 aligned