Difference between revisions of "2025 AIME I Problems/Problem 5"
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| + | ==Problem== | ||
| + | There are <math>8!= 40320</math> eight-digit positive integers that use each of the digits <math>1, 2, 3, 4, 5, 6, 7, 8</math> exactly once. Let <math>N</math> be the number of these integers that are divisible by <math>22</math>. Find the difference between <math>N</math> and <math>2025</math>. | ||
| + | |||
| + | ==See also== | ||
| + | {{AIME box|year=2025|num-b=1|num-a=3|n=I}} | ||
| + | |||
| + | {{MAA Notice}} | ||
Revision as of 19:34, 13 February 2025
Problem
There are 
eight-digit positive integers that use each of the digits 
exactly once. Let 
be the number of these integers that are divisible by 
. Find the difference between and 
.
See also
| 2025 AIME I (Problems • Answer Key • Resources) | ||
| Preceded by Problem 1 |
Followed by Problem 3 | |
| 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. 
