The GATE Grind

GATE 2020 EE – Question 5

General Aptitude · Quantitative Aptitude: Probability and Combinatorics · 1 mark · Multiple choice

If $P,Q,R,S$ are four individuals, how many teams of size exceeding one can be formed, with $Q$ as a member?

  1. 5
  2. 6
  3. 7
  4. 8

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Show answer and explanation

Correct answer: (C) 7

Explanation

A team containing Q is Q plus any non-empty subset of the other three people (the subset must be non-empty for the size to exceed one). There are $2^3-1=7$ such teams.