Determinants 4.1

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What? A 5 by 5 matrix!!

Find

\[det\left( \begin{array}{ccc}1 & 1 & 1 & 1 & 1\\1 & 2 & 3 & 4 & 5\\ 1 & 3 & 6 & 10 &15\\ 1 & 4 & 10 & 20 & 35\\ 1 & 5 & 15 & 35 & 70\end{array} \right)\]

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