In SHORT BINGO, a 5 by 5 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 1-10 in the first column, 5 numbers from 11-20 in the second column, 4 numbers 21- 30 in the third column (skipping the WILD square in the middle), 5 numbers from 31-40 in the fourth column and 5 numbers from 41-50 in the last column.
One possible SHORT BINGO card is:
5 16 25 36 45
4 17 24 37 44
3 18 wild 38 43
2 19 22 39 42
1 20 21 40 41
To play SHORT 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 first row of a SHORT BINGO card?
