Multiple choice

A bag contains $2$ red balls, $3$ white balls and $4$ black balls. In how many ways can $3$ ball be drawn from the bag so that a white ball is always included in it.

  1. $64$
  2. $128$
  3. $32$

  4. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Count all ways to choose 3 balls from 9, then subtract selections containing no white ball. This gives C(9,3) - C(6,3) = 84 - 20 = 64.

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