No.of ways to distribute n balls into r boxes is

Fifteen identical balls have to be put in five different boxes. Each box can contain any number of balls. The total number of ways of putting the balls into the boxes so that each box contains at least two balls is equal to a. .^9C_5 b. .^10 C_5 c. .^6C_5 d. .^10 C_6

In how many ways 5 different balls can be distributed into 3 boxes so that no box remains empty ?

Twelve dissimilar balls are disributed at random into five boxes marked A,B,C,D,E. Find the probability that these boxes contain respectively 3,4,1,4,0, balls.

Twelve balls are distributed among three boxes, find the probability that the first box will contains three balls.

There are four balls of different colours and four boxes of colours same as those of the balls. Find the number of way in which the balls ,one in each box,of its own colour.

Eight prizes are to be distributed by a lottery . The first participant taken 5 tickets from a box containing 50 tickets. In how many different ways can he extract them so that exactly two tickets are winning ?

Find the number of ways of selecting 9 balls from 6 red balls, 5 white balls and 5 blue balls if each selection consists of 3 balls of each colour.

Ten balls are distributed at random among three boxes. What is the probability that the first box will contain 3 balls?

There are 5 different colour balls and 5 boxes of colours same as those of the balls. The number of ways in which one can place the balls into the boxes, one each in a box, so that no ball goes to a box of its own colour is

There are 4 balls of different colours and four boxes of colours same as these of the balls the number of ways in which the balls one in each box would be placed such that a ball does not go to a box of its own colour is