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What does "you are to partition the activities into the minimal number of sets such that, for each pair within a given set, the answers indicate a contradictory preference." refer to?

Posted by hello__world at 2009-02-20 21:47:23 on Problem 1869
"you are to partition the activities into the minimal number of sets such that, for each pair within a given set, the answers indicate a contradictory preference."
I don't understand the meaning "minimal number of sets..."

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