Multiple choice

A box contains 5 red, 4 white and 3 blue balls. Three balls are drawn at random. Find out the number of ways of selecting the balls of different colours.

  1. 24

  2. 32

  3. 60

  4. 30

  5. 40
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

To select one ball of each color (5 red, 4 white, 3 blue), we choose 1 from each group: 5C1 * 4C1 * 3C1 = 5 * 4 * 3 = 60.

AI explanation

To find the number of ways to select three balls of different colours, we apply the fundamental principle of counting to choose one red, one white and one blue ball. The calculation is 5C1 multiplied by 4C1 multiplied by 3C1, which equals 5 times 4 times 3. Multiplying these values gives 60 ways.

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