Difference between revisions of "2010 UNCO Math Contest II Problems/Problem 5"

m (moved 2010 UNC Math Contest II Problems/Problem 5 to 2010 UNCO Math Contest II Problems/Problem 5: disambiguation of University of Northern Colorado with University of North Carolina)
m (See also)
Line 21: Line 21:
  
 
== See also ==
 
== See also ==
{{UNC Math Contest box|year=2010|n=II|num-b=4|num-a=6}}
+
{{UNCO Math Contest box|year=2010|n=II|num-b=4|num-a=6}}
  
 
[[Category:Introductory Combinatorics Problems]]
 
[[Category:Introductory Combinatorics Problems]]

Revision as of 20:31, 19 October 2014

Problem

(a) In the $4 \times 4$ 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?

$\begin{tabular}{|c|c|c|c|} \hline &&& \\ \hline &&& \\ \hline &&& \\ \hline &&& \\ \hline \end{tabular}$

(b) Generalize this to an $N \times N$ grid.


Solution

See also

2010 UNCO Math Contest II (ProblemsAnswer KeyResources)
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