# Answer to Question #13079 in Combinatorics | Number Theory for Patti

Question #13079
i have 40 equal squares in 4 columns and 10 rows. If I chose one square from each column, how many groups of 4 is possible ? I began counting but it got overwhelming so I need to know if there&#039;s a formula. The order of the group doesn&#039;t need to be consecutive in the sense that if the 4 squares on the first top row is 1.2.3.4 and the 2nd top row squares are 5,6,7,8. Then 1,2,3,8 or 2,8,1,3 is the same group..doesn&#039;t matter the order. As long as One is selected from each row, I imagine the amount of groups that is possible is over 10,000
1
2012-08-16T10:49:19-0400
First, you choose one square from 10 from the first row, then one from the second row and so on. Thus there are

N = 10^4 = 10000

possible ways to choose one square from each column, so there are 10000 possible groups of 4.

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