Questions tagged [proofs]

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Consider the numbers 1,2,...,1000. Show that among any 501 of them, two numbers exist such that one divides the other one.

I came across this question in the book 'Invitation to Discrete Mathematics' by Matousek and Nesetril. I am new to these kinds of problems. I approached to this problem in this way: The two numbers selected among any 501 numbers consist of a divisor…
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