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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.



Answer -

Given 6 red balls, 5white balls and 5 blue balls

We can select 3 redballs from 6 red balls in 6C3 ways

Similarly, we canselect 3 white balls from 5 white balls in 5C3 ways

Similarly, we canselect 3 blue balls from 5 blue balls in 5C3 ways

 Number of waysof selecting 9 balls is 6C3 ×5C3 × 5C3

 Number of waysof selecting 9 balls from 6 red balls, 5 white balls and 5 blue balls if eachselection consists of 3 balls of each colour is 6C3 ×5C3 × 5C3 =2000

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