In how many ways can 6 men be seated at a round table ?

In how many ways can 24 persons be seated round a table, if there are 13 seats?

In how many ways can six students be seated in a line so that two particular students do not sit together?

A round-table conference is to be held among 20 delegates belonging from 20 different countries. In how many ways can they be seated if two particular delegates are (i) always to sit together, (ii) never to sit together .

In how many ways can 7 men be slected from 16 men so that 4 paticular men will always be there ?

In how many ways can 7 men be slected from 16 men so that 4 particular men will not be there ,

In how many ways can a party of 6 men be selected out of 10 Hindus, 8 Muslims, and 6 Christians, if the party consists of atleast one person of each religion? Find the number of ways of selection. (Consider only the religion of the person).

In how many ways can 6 boys and 4 girls be seated in a round table so that two girls never be seated together.

20 persons were invited to a party. In how many ways can they and the host be seated at a circular table ? In how many of these ways will two particular persons be seated on either side of the host .

In how many ways can 10 persons take seats in a row of 24 fixed seats so that no two persons take consecutive seats.

In how many ways can be 9 man be selected from 15 men so as always to exclude 3 particular man.