olymmath

HMMT November 2024 U11

  • Guts
  • Answer

A four-digit integer in base 10 is friendly if its digits are four consecutive digits in any order. A four-digit integer is shy if there exist two adjacent digits in its representation that differ by 1. Compute the number of four-digit integers that are both friendly and shy.

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

148

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Similar problems

These problems have the most words in common with this statement.

Locator hmnt/2024/u11 · Tag YHXK9AJKP3 · Edit this page on GitHub · Keys: j next, k previous