Difference between revisions of "1980 Canadian MO Problems/Problem 2"

(Problem 2)
(Problem)
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The numbers from <math>1</math> to <math>50</math> are printed on cards. The cards are shuffled and then laid out face up in <math>5</math> rows of <math>10</math> cards each. The cards in each row are rearranged to make them increase from left to right. The cards in each column are then rearranged to make them increase from top to bottom. In the final arrrangement, do the cards in the rows still increase from left to right?
 
The numbers from <math>1</math> to <math>50</math> are printed on cards. The cards are shuffled and then laid out face up in <math>5</math> rows of <math>10</math> cards each. The cards in each row are rearranged to make them increase from left to right. The cards in each column are then rearranged to make them increase from top to bottom. In the final arrrangement, do the cards in the rows still increase from left to right?
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== Solution ==
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== See Also ==
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*[[1980 Canadian MO]]
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{{CanadaMO box|year=1980|before=First Question|num-a=2}}

Revision as of 12:22, 2 March 2020

Problem

The numbers from $1$ to $50$ are printed on cards. The cards are shuffled and then laid out face up in $5$ rows of $10$ cards each. The cards in each row are rearranged to make them increase from left to right. The cards in each column are then rearranged to make them increase from top to bottom. In the final arrrangement, do the cards in the rows still increase from left to right?

Solution

See Also

1980 Canadian MO (Problems)
Preceded by
First Question
1 2 3 4 5 Followed by
Problem 2