Difference between revisions of "2000 AMC 12 Problems/Problem 16"
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== Solution == | == Solution == | ||
Index the rows with <math>i = 1, 2, 3, ..., 13</math> | Index the rows with <math>i = 1, 2, 3, ..., 13</math> |
Revision as of 23:36, 9 October 2020
Solution
Index the rows with Index the columns with
For the first row number the cells For the second, and so on
So the number in row = and column = is
Similarly, numbering the same cells columnwise we find the number in row = and column = is
So we need to solve
We get
See also
2000 AMC 12 (Problems • Answer Key • Resources) | |
Preceded by Problem 15 |
Followed by Problem 17 |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
All AMC 12 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.