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A university club with 12 members needs to form a committee of 4. Which mechanism calculates the total number of possible unique committees?

A)Permutation accounting for member order
B)Combination, ignoring member order
C)Factorial calculating all arrangements
D)Product rule without replacement

💡 Explanation

Combinations count selections where order does not matter; therefore, the formula nCr = n! / (r! * (n-r)!) applies because the order of committee members is irrelevant. This outcome differs from permutations, rather than factorials or product rule, where order is significant.

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