Difference between revisions of "2005 AMC 10A Problems/Problem 9"
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Therefore the desired [[probability]] is <math>\boxed{\frac{1}{10}} \Rightarrow \mathrm{(B)}</math> | Therefore the desired [[probability]] is <math>\boxed{\frac{1}{10}} \Rightarrow \mathrm{(B)}</math> | ||
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| − | + | {{AMC10 box|year=2005|ab=A|num-b=8|num-a=10}} | |
| − | + | [[Category:Introductory Number Theory Problems]] | |
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{{MAA Notice}} | {{MAA Notice}} | ||
Revision as of 13:28, 13 August 2019
Problem
Three tiles are marked 
and two other tiles are marked 
. The five tiles are randomly arranged in a row. What is the probability that the arrangement reads 
?
Solution
There are 
distinct arrangements of three 's and two 's.
There is only 
distinct arrangement that reads
Therefore the desired probability is 
See also
| 2005 AMC 10A (Problems • Answer Key • Resources) | ||
| Preceded by Problem 8 |
Followed by Problem 10 | |
| 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 10 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
