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 = \(^6C_3\)
No. of ways of selecting 3 balls which is white = \(^5C_3\)
No. of ways of selecting 3 balls which is blue = \(^4C_3\)
Thus, by Multiplication principle, the total number of ways would be,
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.
