# A box contains 4 red, 3 white and 2 blue balls. Three balls are drawn at random. Find out the number of ways of selecting the balls of different colours ?

A box contains 4 red, 3 white and 2 blue balls. Three balls are drawn at random. Find out the number of ways of selecting the balls of different colours ?

A. 12

B. 24

C. 48

D. 168

### **Answer : ** B. 24

## Explanation:

- Please note that we have multiplied the combination results, we use to add when their is OR condition, and we use to multiply when there is AND condition.
- In this question it is AND as 1 red AND 1 White AND 1 Blue, so we multiplied.

1 red ball can be selected in ^{4}C_{1} ways 1 white ball can be selected in ^{3}C_{1} ways 1 blue ball can be selected in ^{2}C_{1} ways

Total number of ways = ^{4}C_{1} x ^{3}C_{1} x ^{2}C_{1} = 4 x 3 x 2 = 24.