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.

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Text solutionVerified

Solution:

= .^{6} C_{3} .^{5} C_{3} .^{5} C_{3}

= \frac{6 !}{3 ! 3 !} \cdot \frac{5 !}{3 ! 2 !} \cdot \frac{5 !}{3 ! 2 !}

= \frac{6 \cdot 5 \cdot 4}{3 \cdot 2 \cdot 1} \cdot \frac{5 \cdot 4}{2} \cdot \frac{5 \cdot 4}{2}

= 5 \cdot 20 \cdot 20 = 2000

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Question Text	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 Type	Text solution:1
Upvotes	150