Maths Olympiad Prep

Track / Stage 4 / 212 of 340 #472 of 1964

Problem 472

AMC 12 late, AIME early
Combinatorics Difficulty 4.9 Find the answer

If every American woman from Minnesota wears a flower hat while visiting the Eiffel Tower, and if every visitor to the Eiffel Tower who wears a flower hat is an American woman from Minnesota, can we conclude that all American women from Minnesota who wear a flower hat visit the Eiffel Tower?

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Official solution

29. Of course not: it is quite possible that a certain American woman from Minnesota wears a hat with flowers but does not visit the Eiffel Tower.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.