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A game of bingo is played on a 5x5 board with a free square in the middle. Each of the other squares contains a distinct

A game of bingo is played on a 5x5 board with a free square in the middle. Each of the other squares contains a distinct from 1 to 75. To win this game, one must get drawn 5 squares in a row, column, or diagonal.

(a) How many possible arrangements of numbers on your 5x5 bingo board are there?

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