In how many ways can a committee of be chosen from people?
Answer and explanation
Correct answer: C. 15
- Step 1: Apply the combination formula because the committee members are unordered.
- Step 2: Express the combination: .
- Step 3: Calculating the result gives distinct committees.
Answer
15.
Why not the others: 12 simply multiplies total people by committee size (); 6 is an underestimation counting miscalculation; 30 calculates permutations , erroneously treating selection order as distinct.
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