What Is the Maximum of the Minimum Values in a 5x5 Array Transversal?

In summary, the question asks for the maximum of the minimum values in a set of 5 numbers chosen from the given array, where one number is chosen from each row and column. The maximum value is 8, as it is the lowest number in the array.
  • #1
furnis1
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Homework Statement


Hey guys, I have a problem here which I can't seem to tackle. I hope someone knows how to go about this. Here it is:

"Their are 5!= 120 different ways of choosing a set of 5 numbers from the array (below) so that a number is takenn from each row and each column. In each "transversal", a minimum nummber occurs. What is the maxmum of these (120) minimum values?



Homework Equations





The Attempt at a Solution


 

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  • #2
The array looks like this: 2 4 6 8 10 3 5 7 9 11 1 6 8 10 12 4 7 9 11 135 8 10 12 14The maximum of the minimum values would be 8, since it is the lowest number in the array. So the answer to the question would be 8.
 

FAQ: What Is the Maximum of the Minimum Values in a 5x5 Array Transversal?

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