Multiple choice

A basket contains 12 red, 10 black and 5 pink balls. 5 balls are drawn at random. The number of ways of drawing at least 2 black balls is

  1. 30,412

  2. 51,242

  3. 50,742

  4. 43,262
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total balls = 27. Total ways to draw 5 balls = 27C5 = 80730. Ways to draw 0 black = 17C5 = 6188. Ways to draw 1 black = 10C1 * 17C4 = 10 * 2380 = 23800. Ways to draw at least 2 black = Total - (0 black + 1 black) = 80730 - (6188 + 23800) = 50742.

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