A box contains 5 different red and 6 different white balls.In how many ways can 6 balls be selected so that there are atleast 2 balls of each colour?

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

Find the number of groups that can be made from 5 different green balls, 4 different blue balls and 3 different red balls, if at least 1 green and 1 blue ball is to be included.

In how many ways can 9 different books be distributed among three students if each receives atleast 2 books?

A bag contains 5 black and 6 red balls. Determine the number of ways in which 2 black and 3 red balls can be selected.

Five balls are to be placed in three boxes in how many diff. ways can be placed the balls so that no balls remain empty if .

A bag contains 6 red, 3 black and 6 white balls. A ball is selected at random from the bag. Find the probability that the selected ball is: (a) a red or black (b) not black

A bag contains 5 black balls, 4 white balls and 3 red balls. If a ball is selected at random the probability that it is either red or black is

In how many ways can 12 different balls be divided between 2 boys, one receiving 5 and the other 7 balls? Also, in how many ways can these 12 balls be divided into groups of 5,4 and 3 balls, respectively?

An urn contains m white and n black balls. A ball is drawn at random and is put back into the urn along with k balls of the same colour as that of the ball drawn. a ball is again drawn at random. Show that the probability of drawing a white ball now does not depend on k.

If a bag containing red and white balls, half the number of white balls is equal to one - third the number of red balls. Thrice the total number of balls by 6. How many balls of each colour does the bag contain ?