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In a room there are 2 green chairs, 3 yellow chairs and 4 blue chairs. In how many ways can Raj choose 3 chairs so that at least one yellow chair is included?

Question and options

In a room there are 2 green chairs, 3 yellow chairs and 4 blue chairs. In how many ways can Raj choose 3 chairs so that at least one yellow chair is included?
  1. 3
  2. 30
  3. 64
  4. 84

Answer and explanation

Correct answer: C - 64
Total ways C(9,3) = 84; ways with no yellow C(6,3) = 20. At least one yellow = 84 - 20 = 64.

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