Find the number of ways of selecting 9 balls from 6 red balls, 5 while balls and 4 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 while balls and 4 blue balls if each selection consists of 3 balls of each colour.

Answer : Total number of red balls = 6 Total number of white balls = 5

Total number of blue balls = 4

No. of ways of selecting 3 balls which is red = 6C3 No. of ways of selecting 3 balls which is white = 5C3 No. of ways of selecting 3 balls which is blue = 4C3

Thus, by Multiplication principle, the total number of ways would be,

6C3 x5C3 x4C3

⇒ 800 ways

Thus, the number of ways of selecting 9 balls from 6 red balls, 5 while balls and 4 blue balls if each selection consists of 3 balls of each colour would be 800.