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Bingo Cards
Each player has a number of BINGO cards. Each BINGO card has 5 rows and 5 columns thus providing 25 spaces. The columns are labelled from left to right with the letters: 'B', 'I', 'N', 'G', 'O'. With one exception (the center space is "free") the spaces in the card are assigned values as follows: Each space in the 'B' column contains a number from 1 - 15. Each space in the 'I' column contains a number from 16 - 30. Each space in the 'N' column contains a number from 31 - 45. Each space in the 'G' column contains a number from 46 - 60. Each space in the 'O' column contains a number from 61 - 75.
A number can appear only once on a single card. Here's a sample BINGO card: B I N G O 10 17 39 49 64 12 21 36 55 62 14 25 FREE SPACE 52 70 7 19 32 56 68 5 24 34 54 71 The number of unique BINGO cards is very large and can be calculated with this equation: // the B, I, G, and O columns * the N column (15 * 14 * 13 * 12 * 11) ^ 4 * (15 * 14 * 13 * 12) While perhaps interesting to a statistician, the number of possible BINGO cards has nothing to do with player's chances of winning.
BINGO CARD STATISTICS
Calculating the total number of possible combinations yeilds the result that there exists
552,446,4557,061,129,000,000,000,000 possible BINGO cards, 4,976,640,000 of which would have the same twenty-four numbers, but in a different arrangement.
If we presume that there are six billion people in the world today, that means that there are 92,0557,412,343,521,400 cards for each and every person in the world.
If you could print a million cards per second, it would take
17,505,972,382,599.7 years to print every possible BINGO card
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