Difference between revisions of "2022 AIME I Problems/Problem 9"

Revision as of 20:19, 17 February 2022

Problem

Ellina has twelve blocks, two each of red $\left({\bf R}\right),$ blue $\left({\bf B}\right),$ yellow $\left({\bf Y}\right),$ green $\left({\bf G}\right),$ orange $\left({\bf O}\right),$ and purple $\left({\bf P}\right).$ Call an arrangement of blocks even if there is an even number of blocks between each pair of blocks of the same color. For example, the arrangement ${\text {\bf R B B Y G G Y R O P P O}}$ is even. Ellina arranges her blocks in a row in random order. The probability that her arrangement is even is $\frac mn$ , where $m$ and $n$ are relatively prime positive integers. Find $m+n$ .

@@ Line 4: / Line 4: @@
 ==See Also==
-{{AIME box|year=2022|n=I|num-b=7|num-a=9}}
+{{AIME box|year=2022|n=I|num-b=8|num-a=10}}
 {{MAA Notice}}

2022 AIME I (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
All AIME Problems and Solutions

Page

Toolbox

Search

Difference between revisions of "2022 AIME I Problems/Problem 9"

Revision as of 20:19, 17 February 2022

Problem

See Also