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3-member committees from 12 candidates = (12 x 11 x 10) / (3 x 2) = 220 committees

9-member committees = (12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4) / (9 x 8 x 7 x 6 x 5 x 4 x 3 x 2) = 220 committees.

By George! That's right!

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Q: When choosing a committee composed of 3 members from among 12 candidates is the number of possibilities the same as choosing a committee of 9 members from among 12 candidates?
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