Out of 10 white, 9 black, and 7 red balls, find the number of ways in which selection of one or more balls can be made (balls of the same color are identical).

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.

There are 2 identical white balls, 3 identical red balls, and 4 green balls of different shades. Find the number of ways in which they can be arranged in a row so that atleast one ball is separated from the balls of the same color.

A box contains 4 white and 6 red balls if 2 balls are drawn at random find the expectation of the number of red balls

Assuming the balls to be identical except for difference in colours , the number of ways in which one or more balls can be selected from 10 white , 9 green and 7 black balls is -

The number of ways of selecting 10 balls from unlimited number of red, black, white and green balls, is

A box contains 2 white balls, 3 black balls & 4 red balls. In how many ways can three balls be drawn from the box if atleast one black ball is to be included in draw (the balls of the same colour are different).

Ram has two bags.One bag contains 5 white balls and 4 red balls and another bag contains 4 white balls and 2 red balls,if one ball is drawn from each bag the probability that one is white and one is red,is

Urn A contains 1 white, 2 black and 3 red balls, urn B contains 2 white, 1 black and 1 red ball, and urn C contains 4 white, 5 black and 3 red balls. One urn is chosen at random and two balls are drawn. These happen to be one white and one red. What is the probability that they come from urn A ?

Urn A contains 1 white, 2 black and 3 red balls urn B contains 2 white, 1 black and 1 red ball and urn C contains 4 white, 5 black and 3 red balls. One urn is chosen at random and two balls are drawn. These happen to be one white and one red. What is the probability that they come from urnA?

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.