In SHORT BINGO, a 5 x 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: 

























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?

SmartMathMan  Jan 16, 2018
edited by SmartMathMan  Jan 16, 2018
edited by SmartMathMan  Jan 16, 2018

Total possibilities for 1st row


We have  10  choices for each   square  in the row


So...   105  =   100,000 possibilities



cool cool cool

CPhill  Jan 16, 2018

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