Tuesday, 23 December 2014

1, 2, 3, 4, 5

Consider all the 5-digit numbers containing each of the digits 1, 2, 3, 4, 5 
exactly once, and not divisible by 6. Find the sum of all these numbers. 
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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, ...