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Question

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.


Solution

There are 6 red balls, 5 white balls and 5 blue balls.

We have to select 3 balls of each colour.

    Number of ways of selection= 6C3×5C3×5C3

= 6!3! 3!×5!3! 2!×5!3! 2!

= 20×10×10=2000.

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