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:
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?