# 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. - Mathematics

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.

#### Solution

2 black and 3 red balls are to be selected from 5 black and 6 red balls.
Required number of ways =${}^5 C_2 \times^6 C_3 = \frac{5}{2} \times \frac{4}{1} \times \frac{6}{3} \times \frac{5}{2} \times \frac{4}{1} = 200$

Concept: Combination
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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 17 Combinations
Exercise 17.2 | Q 28 | Page 17