Difference between revisions of "User:Borealbear"
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| − | Congrats on finding this page! Here's a problem I made: | + | Congrats on finding this page! Here's a problem I made: \\ |
| − | Suppose a positive integer with all digits non-zero is considered | + | Suppose a positive integer with all digits non-zero is considered \textit{almost unique} if there are fewer than <math> 5 </math> permutations of its digits. For example, <math> 122 </math> is [i]almost unique[/i] since it has <math> 3 </math> permutations,(<math> 122 </math>, <math> 212 </math>, and <math> 221 </math>), while <math> 123 </math> is not since it has <math> 6 </math> permutations, (<math>123</math>, <math> 132 </math>, <math> 213 </math>, <math> 231 </math>, <math> 312 </math>, <math> 321 </math>). How many \textit{almost unique} numbers less than <math> 1000000 </math> are there? |
Revision as of 15:24, 22 April 2021
AIME Qual
Congrats on finding this page! Here's a problem I made: \\
Suppose a positive integer with all digits non-zero is considered \textit{almost unique} if there are fewer than 
permutations of its digits. For example, 
is [i]almost unique[/i] since it has 
permutations,(, 
, and 
), while 
is not since it has 
permutations, (, 
, 
, 
, 
, 
). How many \textit{almost unique} numbers less than 
are there?
