Place the numbers

Discrete Mathematics Level pending

The numbers 1-9 are placed in a 3 by 3 grid. For any such arrangement, let the medians of the three rows be \(a_1\), \(a_2\) and \(a_3\), and let \(m\) be the median of \(a_1\), \(a_2\) and \(a_3\). If \(m=5\), then how many possible arrangements of the numbers are there?

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