Lemma
MediumPermutations & combinations
AQuA-RAT train #8921 · Combinatorics · Permutations & combinations

A club with a total membership of 30 has formed 3 committees…

A club with a total membership of 30 has formed 3 committees, M, S and R, which have 7, 12 and 5 members respectively. If no members of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on none of the committees?

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AQuA-RAT — Algebra Question Answering with Rationales (Ling et al., DeepMind, 2017) · train #8921

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