Friday, 8 November 2013

Subsets is all in one color

Given Six three element subsets of a finite set X, show that it is possible to color the elements of X  in two colors such that none of the given subsets is all in one color.
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Define f:R→R by \[f(x)= \begin{cases}(1-\cos x) \sin \left(\frac{1}{x}\right), & x \neq 0 \ 0, ...