There are two bags, each containing m balls, A person has to select an equal numbers of balls from both the bags. Find the number of ways in which he can select at least one ball from each bag.

There are two bags each of which contains n balls.A man has to select an equal number of balls from both the bags.Prove that the number of ways in which a man can choose at least one ball from each bag is ^(2n)C_(n)-1.

In a bag there are 5 red balls, 3 white balls and 4 black balls. Four balls are drawn from the bag. Find the number of ways in which at most 3 red balls are selected?

There are 4 red, 3 black and 5 white balls in a bag. Find the number of ways of selecting three balls, if at least one black ball is there.

There are 4 white, 3 black and 3 red balls in a bag. Find the number of ways of selecting three balls, if at least one black ball is there.

A bag contains 4 red, 3 white and 2 blue balls. Three balls are drawn at random out of the bag. Determine the number of ways of selecting at least one white ball in the selection.

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.

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.

A bag has contains 23 halls in which 7 are identical.Then number of ways of selecting 12 balls from bag.

A bag contains 4 white balls and some red balls.If the probability of drawing a white ball from the bag is (2)/(5), find the number of red balls in the bag.