# 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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