Find the number of ways in which 22 different books can be given to 5 students, so that two students get 5 books each and all the remaining students get 4 books each.

Find the number of ways in which n distinct objects can be kept into two identical boxes so that no box remains empty is

Find the number of ways in which 5 distinct balls can be distributed in three different boxes if no box remains empty.

A shelf contains 20 books of which 4 are single volume and the other form sets of 8, 5, and 3 volumes. Find the number of ways in which the books may be arranged on the shelf so that volumes of each set will not be separated. (ii)volumes of each set remain in their due order.

The number of ways in which 5 boys and 3 girls be seated in a row so that each girl is between two boys is

In how many ways can 10 different prizes be given to 5 students if one particular boy must get 4 prizes and rest of the students can get any number of prizes?

Find the number of ways in which 13 identical apples can be distributed among 3 persons so that no two persons receive equal number of apples and each can receive any number of apples.

The number of ways of distributing 3 identical physics books and 3 identical methematics books among three students such that each student gets at least one books is

A team of four students is to be selected from a total of 12 students. The total number of ways in which the team can be selected such that two particular students refuse to be together and other two particular students wish to be together only is equal to a. 220 b. 182 c. 226 d. none of these

There are 5 teachers and 20 students . Out of them a committee of teachers and 3 students is to be formed. Find the number of ways in which this can be done. Further find in how many of these committees (a) a particular teacher is included ? (ii) a particular student is excluded ?

Number of ways in which 25 identical things be distributed among five persons if each gets odd number of things is