Difference between revisions of "2005 AMC 10A Problems/Problem 9"
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There is only <math>1</math> distinct arrangement that reads <math>XOXOX</math> | There is only <math>1</math> distinct arrangement that reads <math>XOXOX</math> | ||
− | Therfore the desired probability is <math>\frac{1}{10} \Rightarrow B</math> | + | Therfore the desired [[probability]] is <math>\frac{1}{10} \Rightarrow \mathrm{(B)}</math> |
==See Also== | ==See Also== | ||
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*[[2005 AMC 10A Problems/Problem 10|Next Problem]] | *[[2005 AMC 10A Problems/Problem 10|Next Problem]] | ||
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+ | *[[Combination]] | ||
+ | [[Category:Introductory Combinatorics Problems]] |
Revision as of 10:44, 2 August 2006
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 arrangments of three
's and two
's.
There is only distinct arrangement that reads
Therfore the desired probability is