Three boys and three girls are to be seated around a table in a circle. Among them, the boy X does not want any girl neighbour and the girl Y does not want any boy neighbour. The number of such arrangements are possible is

Three boys and three girls are to be seated around a table in a circle. Among them, the boy X does not want any girl neighbour and the girl Y does not want any boy neighbour. How many such arrangements are possible ?

3 boy and 3 girls are to be seated around a table in a circle. Among them, the boy X does not want any girl neighbour and the girl Y does not want any boy neighbour. How many such arrangements are possible?

Three boys and three girls are to be seated around a table in a circle. Among them, the boy X does not want any girl as neighbour and girl Y does not want any boy as neighbour. How many such distinct arrangements are possible?

Five boys and three girls are seated at random in a row. The probability that no boy sits between two girls, is

Five boys and three girls are seated at random in a row. The probability that no boy sits between two girls, is

In how many ways can 5 boys and 5 girls be seated around a table so that no two boys are adjecent?