Difference between revisions of "2010 UNCO Math Contest II Problems/Problem 5"
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== Solution == | == Solution == | ||
+ | (a) <math>\tfrac{6}{455}</math> | ||
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+ | (b) <math>\frac{n!}{\binom{n^2}{n}}</math> | ||
== See also == | == See also == | ||
− | {{ | + | {{UNCO Math Contest box|year=2010|n=II|num-b=4|num-a=6}} |
[[Category:Introductory Combinatorics Problems]] | [[Category:Introductory Combinatorics Problems]] |
Latest revision as of 01:51, 13 January 2019
Problem
(a) In the grid shown, four coins are randomly placed in different squares. What is the probability that no two coins lie in the same row or column?
(b) Generalize this to an grid.
Solution
(a)
(b)
See also
2010 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
Preceded by Problem 4 |
Followed by Problem 6 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
All UNCO Math Contest Problems and Solutions |