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counting and probability intermediate

Problem

At a party, each man danced with exactly three women and each woman danced with exactly two men. Twelve men attended the party. How many women attended the party?
(A)
(B)
(C)
(D)
Solution
If each man danced with women, then there will be a total of pairs of men and women. However, each woman only danced with men, so there must have been women.
Final answer
D