Difference between revisions of "User:Borealbear"

Revision as of 15:23, 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 [i]almost unique[/i] if there are fewer than $5$ permutations of its digits. For example, $122$ is [i]almost unique[/i] since it has $3$ permutations,( $122$ , $212$ , and $221$ ), while $123$ is not since it has $6$ permutations, ( $123$ , $132$ , $213$ , $231$ , $312$ , $321$ ). How many [i]almost unique[/i] numbers less than $1000000$ are there?

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Difference between revisions of "User:Borealbear"

Revision as of 15:23, 22 April 2021

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 AIME Qual
+Congrats on finding this page! Here's a problem I made:
+Suppose a positive integer with all digits non-zero is considered [i]almost unique[/i] 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 [i]almost unique[/i] numbers less than <math> 1000000 </math> are there?