Art of Problem Solving

2025 AIME I Problems/Problem 5: Difference between revisions

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==See also==
==See also==
{{AIME box|year=2025|num-b=1|num-a=3|n=I}}
{{AIME box|year=2025|num-b=4|num-a=6|n=I}}


{{MAA Notice}}
{{MAA Notice}}

Revision as of 19:34, 13 February 2025

Problem

There are $8!= 40320$ eight-digit positive integers that use each of the digits $1, 2, 3, 4, 5, 6, 7, 8$ exactly once. Let $N$ be the number of these integers that are divisible by $22$. Find the difference between $N$ and $2025$.

See also

2025 AIME I (ProblemsAnswer KeyResources)
Preceded by
Problem 4
Followed by
Problem 6
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions

These problems are copyrighted © by the Mathematical Association of America.