2000 PMWC Problems/Problem T5


Each of $20$ children ranked $3$ kinds of chocolate (A, B, and C) in order of their preferences, with no absentions. Suppose $11$ children preferred B to C, $14$ preferred C to A, and $12$ preferred A to B, and all possible ordered of A, B, and C existed. Find the number of children who ranked A as their first preference.


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