Question 22
The regular octagon $ABCDEFGH$ has its center at $J.$ Each of the vertices and the center are to be associated with one of the digits $1$ through $9,$ with each digit used once, in such a way that the sums of the numbers on the lines $AJE,$ $BJF,$ $CJG,$ and $DJH$ are all equal. In how many ways can this be done?
