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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 choice? |
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Answer» We have Number of red balls = 6 Number of White balls = 6 Number of blue balls = 6 Since each selection consists of 3 balls of each = 11 colours, so 3 red balls can be selected out of 6 balls in 6C3 ways, 3 white balls out of 5 can be selected in 5C3 ways and 3 blue balls out of 5 can be selected in 5C3 ways ∴ Required number of ways = 6C3 x 5C3 x 5C3 = 20 x 10 x 10 = 2000 |
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