Six apples and six mangoes are to be distributed among ten boys so that each boy receives at least one fruit. Find the number ways in which the fruits can be distributed.

In how many ways 14 identical toys be distributed among three boys so that each one gets atleast one toy and no two boys get equal no of toys ?

n different toys have to be distributed among n children. Find the number of ways in which these toys can be distributed so that exactly one child gets no toy.

The number of ways to distribute 20 apples to 3 different boys, each boy receiving at least 4 apples , is

5 different objects are to be distributed among 3 persons such that no two persons get the same number of objects. Number of ways this can be done is,

There are p copies each of n different books. Find the number of ways in which a nonempty selection can be made from them.

There are six teachers. Out of them two are primary teacher, two are middle teachers, and two are secondary teachers. They are to stand in a row, so as the primary teachers, middle teacher, and secondary teachers are always in a set. Find the number of ways in which they can do so.

Out of 8 sailors on a boat, 3 can work only on one particular side and 2 only on the other side. Find the number of ways in which the sailors can be arranged on the boat.

The total number of ways in which 5 balls of different colours can be distributed among 3 persons, so that each person gets atleast one ball is

Statement 1: number of ways in which 10 identical toys can be distributed among three students if each receives at least two toys is .^6C_2 . Statement 2: Number of positive integral solutions of x+y+z+w=7i s^6C_3dot

Five different games are to be distributed among 4 children randomly. The probability that each child get at least one game is a. 1//4 b. 15//64 c. 5//9 d. 7//12