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

Answer and explanation

Correct answer: B. 210

  1. Step 1: Use the standard combination formula for selecting items from : .
  2. Step 2: For and , write .
  3. Step 3: Evaluating the factorial expression gives .
Answer
210.
Why not the others: 5040 calculates permutations , erroneously treating selection order as distinct; 40 simply multiplies total people by committee size (); 120 is an underestimation counting miscalculation.

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