In how many ways can a committee of be chosen from people?
Answer and explanation
Correct answer: A. 220
- 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 .
- Step 2: Set up the combination with and : .
- Step 3: Cancel common factors and compute: .
Answer
220.
Why not the others: 66 is an underestimation counting miscalculation; 1320 calculates permutations , erroneously treating selection order as distinct; 36 simply multiplies total people by committee size ().
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