Find the total number of selections of at least one red ball from 4 red balls and 3 green balls, if (a) the balls of the same colour are different, (b) the balls of the same colour are identical.

Find the total number of selections of at least one red ball from a bag containing 4 red balls and 5 black balls, balls of the same colour being identical.

Find the total number of ways of selection of 4 distinct red balls, 2 identical black balls, and 3 identical white balls.

Find the number of ways by which 4 green, 3 red and 2 white balls can be arranged in a row such that no two balls of the same colour are together. All balls of the same colour are identical.

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. Assuming that balls of the same colour are distinguishable is (i) 40 (ii) 60 (iii) 180 (iv) 2000

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.

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.

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).

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

Out of 10 white, 8 black and 6 red balls, the number of ways in which one or more balls can be selected is (assuming balls of the same colour are identical)

Find the number of ways of selections of 3 balls out of 9 red distinct balls and 6 balck distnct balls if at least one balck ball is here in each selection.