Difference between revisions of "User:Borealbear"
Borealbear (talk | contribs) (Created page with "BorealBear is a user who is really bad at math. BorealBear's best accomplishment is getting second in regional Science Bowl.") |
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+ | Congrats on finding this page! Here's a problem I made: <math>\newline</math> | ||
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+ | Suppose a positive integer with all digits non-zero is considered <math>\textit{almost unique}</math> if there are fewer than <math> 5 </math> permutations of its digits. For example, <math> 122 </math> is <math>\textit{almost unique}</math> 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>, and <math> 321 </math>). How many <math>\textit{almost unique}</math> numbers less than <math> 1000000 </math> are there? |
Latest revision as of 17:22, 30 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 if there are fewer than permutations of its digits. For example, is since it has permutations, (, , and ), while is not since it has permutations, (, , , , , and ). How many numbers less than are there?