If `n` persons are seated on a round table, what is the probability that two named individuals will be neighbours?

There are 10 persons who are to seated around a circular table . Find the probability that two particular will always sit together .

If seven persons are to be seated in a row, then the probability that two particular persons are seated next to each other is

Seven persons are to be seated in a row. The probability that two particular persons sit next to each other is

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

In how many ways can 5 persons be seated at a round table?

There are eight girls among whom two are sisters, all of them are to sit on a round table. Find the probability that the two sisters do not sit together.

A committee of two persons is selected from two men and two women. What is the probability that the committee will have (a) no man? (b) one man? (c) two men?

Statement 1: the number of ways in which n persons can be seated at a round table, so that all shall not have the same neighbours in any two arrangements is (n-1)!//2. Statement 2: number of ways of arranging n different beads in circles is (n-1)!//2.

What name is given to individual filament?

Find the number of ways in which six persons can be seated at a round table, so that all shall not have the same neighbours n any two arrangements.