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

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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.

Options

  • 12

  • 24

  • 48

  • 168

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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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