One Bingo winner
Several months after Bingo hit the market, Lowe was approached by a priest from Wilkes-Barre, Pennsylvania. The Father had a problem in his parish. A fast thinking parishoner had come up with the idea of using Bingo as a way to get the church out of its financial troubles. The priest had put the scheme into operation after having bought several sets of Lowe’s $2.00 Bingo game. However, problems developed immediately when it was found that each game produced half a dozen or more winners. – History of Bingo
Each Bingo card has five columns. In the first column appears five numbers from 1 to 15, in the second five from 16 to 30, in the third four from 31 to 45, and in the fourth and fifth five numbers from 46 to 60 and 61 to 75 respectively.
If a winner is the one who first gets a row, column, or main diagonal filled (the center cell is filled in from the start), how many cards can be made that always will create only one winner?
If you find that problem too hard, try instead to answer it for a 3×3 board that uses numbers from 1 to 27 with a free square in the center.
Failing that, try a 1×1 board with numbers from 1 to 3 and a free square in the center.