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In BINGO, a  card is filled by marking the middle square as WILD and placing 24 other numbers in the remaining 24 squares.


Specifically a card is made by placing 5 numbers from the set  in the first column, 5 numbers from  in the second column, 4 numbers  in the third column (skipping the WILD square in the middle), 5 numbers from  in the fourth column and 5 numbers from  in the last column.

One possible BINGO card is:

https://latex.artofproblemsolving.com/1/3/4/134592c325b5c84da1a3e5951091457e0cc2e3fc.png



To play BINGO, someone names numbers, chosen at random, and players mark those numbers on their cards. A player wins when he marks 5 in a row, horizontally, vertically, or diagonally.

How many distinct possibilities are there for the values in the diagonal going from top left to bottom right of a BINGO card, in order?

 Apr 10, 2020

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