Six men and five women sit around a table. In how many ways can they seat themselves so that no two ladies are together?

Eight men and six women sit around a table. How many of sitting arrangements will have no two women together?

In how many ways can 5 boys and 5 girls sit in a circle so that no two boys sit together?

In a train five seats are vacant, then how many ways can three passengers sit

In how many ways 6 gents and 5 ladies dine at a round table, if no two ladies ate to sit together?

A family of 4 brothers and 3 sisters is to be arranged for a photograph in one row. In how many ways can they be seated if (i) all the sisters sit together, (ii) no two sisters sit together

In how many ways can 7 people be arranged at round table, so that two particular persons be together?

In how many ways can 6 boys and 6 girls sit in a round table so that no two boys sit together

A round table conference is to be held between 20 delegates and 20 countries. In how many ways can they be seated if two particular delegates are always to sit together?