Difference between revisions of "2022 AIME I Problems/Problem 9"
Ihatemath123 (talk | contribs) |
Ihatemath123 (talk | contribs) |
||
Line 4: | Line 4: | ||
==See Also== | ==See Also== | ||
− | {{AIME box|year=2022|n=I|num-b= | + | {{AIME box|year=2022|n=I|num-b=8|num-a=10}} |
{{MAA Notice}} | {{MAA Notice}} |
Revision as of 21:19, 17 February 2022
Problem
Ellina has twelve blocks, two each of red blue
yellow
green
orange
and purple
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
is even. Ellina arranges her blocks in a row in random order. The probability that her arrangement is even is
, where
and
are relatively prime positive integers. Find
.
See Also
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 |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.