In how many ways can a committee of be chosen from people?
Answer and explanation
Correct answer: D. 330
- Step 1: Use the standard combination formula for selecting items from : .
- Step 2: For and , write .
- Step 3: Evaluating the factorial expression gives .
Answer
330.
Why not the others: 165 is an underestimation counting miscalculation; 7920 calculates permutations , erroneously treating selection order as distinct; 44 simply multiplies total people by committee size ().
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