Tuesday 17 August 2021

The number of different ways to colour the vertices of a square \(PQRS\) using one or more colours from the set \(\{Red, Blue, Green, Yellow \},\) such that no two adjacent vertices have the same colour is

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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...