In a group of boys, two boys are brothers and six more boys are present in the group. In how many ways can they sit if the brothers are not to sit along with each other? a.`2xx6!` b.`^7P_2xx6!` c. `^7C_2xx6!` d. none of these

In how many ways can 12 balls be divided between 2 boys, one receiving 5 and the other 7 balls ?

A group consists of 4 girls are 7 boys. In how many ways can a team of 5 members be selected if the team has no girl ?

A committee of 6 is chosen from 10 men and 7 women so as to contain at least 3 men and 2 women. In how many ways can this be done if two particular women refuse to serve on the same committee? a. 850 b. 8700 c. 7800 d. none of these

A group consists of 4 girls are 7 boys. In how many ways can a team of 5 members be selected if the team has at least one boy and one girl ?

A group consists of 4 girls are 7 boys. In how many ways can a team of 5 members be selected if the team has at least 3 girls ?

In a three-storey building, there are four rooms on the ground floor, two on the first and two on the second floor. If the rooms are to be allotted to six persons, one person occupying one room only, the number of ways in which this can be done so that no floor remains empty is a. "^8P_6-2(6!) b. "^8P_6 c. "^8P_5(6!) d. none of these

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 are sitting in a particular arrangement around a circular table. Three persons are to be selected for leaders. The number of ways of selection of three persons such that no two were sitting adjacent to each other is a. 600 b. 900 c. 800 d. none of these

6 boys and 6 girls sit in row at random. the probability that all the girls sit together is a. 1/(432) b. (12)/(431) c. 1/(132) d. none of these

The number of ways in which the letters of the word PERSON can placed in the squares of the given figure so that no row remains empty is a. 24xx6! b. 26xx6! c. 26xx7! d. 27xx6!