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 ().

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