Multiple choice

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 colors?

  1. $62$
  2. $48$
  3. $12$
  4. $24$
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D Correct answer
Explanation

We need to select 1 red (from 4), 1 white (from 3), and 1 blue (from 2). The number of ways is 4C1 * 3C1 * 2C1 = 4 * 3 * 2 = 24.

AI explanation

To draw three balls of different colors from 4 red, 3 white, and 2 blue balls, you must pick exactly one ball of each color. The number of ways is found using the fundamental principle of counting. Multiply the combinations for each color to get 4C1 times 3C1 times 2C1. This evaluates to 4 times 3 times 2, giving 24 ways.

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