In how many ways can a committee of be chosen from people?

Answer and explanation

Correct answer: B. 35

  1. Step 1: Since the order of selection in a committee is irrelevant, the number of ways to choose people from is given by the combination formula .
  2. Step 2: Set up the combination with and : .
  3. Step 3: Cancel common factors and compute: .
Answer
35.
Why not the others: 840 calculates permutations , erroneously treating selection order as distinct; 70 is an overestimation counting miscalculation; 28 simply multiplies total people by committee size ().

Practise more Permutations and combinations.

Free questions with an explanation for every one, and full timed JEE Main mock tests.

All Permutations and combinations questionsTake a mock test

More Permutations and combinations questions