# 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. - Mathematics

MCQ

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.

• 12

• 24

• 48

• 168

#### Solution

24
Explanation:
1 red ball can be selected in ""^4C_1 ways

1 white ball can be selected in ""^3C_1 ways

1 blue ball can be selected in ""^2C_1 ways

Total number of ways

= ""^4C_1xx""^3C_1xx""^2C_1=4xx3xx2=24

Concept: Permutation and Combination (Entrance Exam)
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