The GATE Grind

GATE 2018 CE (CE2) – Question 4

General Aptitude · Analytical Aptitude: Logical Reasoning and Deduction · 1 mark · Multiple choice

How many distinct three-member committees can be formed from nine people?

  1. 27
  2. 72
  3. 81
  4. 84

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Correct answer: (D) 84

Explanation

Order does not matter in a committee. Choose three of nine: $\binom93=9(8)(7)/(3\times2\times1)=84$ (D).