Saturday 23 November 2013

one or two of them can get no objects

Seven different objects must be divided among three people. In how many ways can it be done if
 one or two of them can get no objects.

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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, &a...