Difference between revisions of "1963 IMO Problems/Problem 6"
(New page: ==Problem== Five students, <math>A,B,C,D,E</math>, took part in a contest. One prediction was that the contestants would finish in the order <math>ABCDE</math>. This prediction was very po...) |
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Revision as of 18:25, 30 December 2008
Problem
Five students, , took part in a contest. One prediction was that the contestants would finish in the order
. This prediction was very poor. In fact no contestant finished in the position predicted, and no two contestants predicted to finish consecutively actually did so. A second prediction had the contestants finishing in the order
. This prediction was better. Exactly two of the contestants finished in the places predicted, and two disjoint pairs of students predicted to finish consecutively actually did so. Determine the order in which the contestants finished.
Solution
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See Also
1963 IMO (Problems) • Resources | ||
Preceded by Problem 5 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Last Question |
All IMO Problems and Solutions |