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.

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 5C3 4C3


Applying formula, nCr = , we get


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.


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