Difference between revisions of "2005 AIME II Problems/Problem 2"

(Problem)
m
Line 3: Line 3:
  
 
== Solution ==
 
== Solution ==
 +
{{solution}}
 
== See Also ==
 
== See Also ==
 +
 +
*[[2005 AIME II Problems/Problem 1| Previous problem]]
 +
*[[2005 AIME II Problems/Problem 3| Next problem]]
 
*[[2005 AIME II Problems]]
 
*[[2005 AIME II Problems]]

Revision as of 20:53, 7 September 2006

Problem

A hotel packed breakfast for each of three guests. Each breakfast should have consisted of three types of rolls, one each of nut, cheese, and fruit rolls. The preparer wrapped each of the nine rolls and once wrapped, the rolls were indistinguishable from one another. She then randomly put three rolls in a bag for each of the guests. Given that the probability each guest got one roll of each type is $\frac mn,$ where $m$ and $n$ are relatively prime integers, find $m+n.$

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See Also