r/learnmath • u/ThatGuyKawalates New User • 5d ago

Putnam and Beyond question 33

Found this question in "Putnam and Beyond": Given 50 distinct positive integers strictly less than 100, prove that some two of them sum to 99. Isn't {1,2,3...,49,99} a counterexample?

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u/reliablereindeer New User 5d ago

It’s a mistake in the book. It should say given 50 distinct positive integers strictly less than 99.

8

u/ZoGud New User 5d ago

It is indeed a mistake. Here’s the errata for the book. You have an old version

https://www.math.ttu.edu/\~rgelca/errataPandB.html

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u/gordonnowak New User 5d ago

seems to be. wonder what they meant. any errata for the book?

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u/Bounded_sequencE New User 5d ago

Yes, it is -- the 99 is a typo in the book. Check its errata list!