# Maths on a Mug #3

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This is one of my favourite puzzles. It is a simple, life long game. Using exactly four 4s make as many numbers as you can. You can use the operators $$+,\,-,\,\times,\,\div,\,!,\,\mbox{^},\,.,\,\sqrt{},\Gamma$$ and concatenation. You must use all four 4s. Let me start you off with a couple:

\begin{align*} 0 &= 44 – 44, \\ 1 &= \frac{44}{44}, \\ 2 &= \frac{4}{4} + \frac{4}{4}. \end{align*}

The value on the mug is a solution for the number 169.

### Sean

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