Lemma
MediumPermutations & combinations
AQuA-RAT train #1579 · Combinatorics · Permutations & combinations

A committee of three people is to be chosen from 7 married…

A committee of three people is to be chosen from 7 married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?

This problem repeats another one in the library (at most with different numbers), so it's left out of browsing.

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AQuA-RAT — Algebra Question Answering with Rationales (Ling et al., DeepMind, 2017) · train #1579

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