Tuesday, 23 December 2014

100 CHOCOLATES

In how many ways can you distribute 100 identical chocolates among
10 children so that the number of chocolates everyone gets is a multiple of 3, 
allowing some chocolates to be undistributed?
 [In solving this problem, you should take 0 to be a multiple of 3.]
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Define \(f: \mathbb{R} \rightarrow \mathbb{R}\) by \[f(x)= \begin{cases}(1-\cos x) \sin \left(\frac{1}{x}\right), & x \neq 0 \\ 0, ...