AoPS Subset Problem

Algebra
Tutor: None Selected Time limit: 1 Day

Let S be a subset of {1, 2, 3, 4...., 100}, containing 50 elements. How many such sets have the property that every pair of numbers in S has a common divisor that is greater than 1?

Aug 18th, 2015

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Aug 18th, 2015

Okay, so what do I do?

Aug 18th, 2015

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Aug 18th, 2015
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Aug 18th, 2015
Feb 22nd, 2017
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