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Question
A bag contains 5 black and 6 red balls. Determine the number of ways in which 2 black and 3 red balls can be selected.
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Solution
2 black and 3 red balls are to be selected from 5 black and 6 red balls.
Required number of ways =\[{}^5 C_2 \times^6 C_3 = \frac{5}{2} \times \frac{4}{1} \times \frac{6}{3} \times \frac{5}{2} \times \frac{4}{1} = 200\]
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