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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?

 Aug 5, 2019
 #1
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Each column in the first row has 10 possible entries.

 

There are 5 columns

 

105 = 100000

 Aug 6, 2019

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