HMMT 2017 C4
- Combinatorics
- Answer
Sam spends his days walking around the following grid of squares.
| 1 | 2 |
|---|---|
| 4 | 3 |
Say that two squares are adjacent if they share a side. He starts at the square labeled 1 and every second walks to an adjacent square. How many paths can Sam take so that the sum of the numbers on every square he visits in his path is equal to 20 (not counting the square he started on)?
Dataset text NuminaMath olympiads. Quoted with source.
Show the answer
167
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
Similar problems
These problems have the most words in common with this statement.