reasoning · 2026-09-17
A grid is made of 2 rows and 2 columns of squares. Starting at its bottom-left corner, move along grid edges to the top-right corner, only up or right, one square-edge per move. How many different paths are there?
Answer: b
You must make exactly 4 moves in total: 2 rights (R) and 2 ups (U). The number of ways to arrange RRUU is 4 choose 2, which mathematically evaluates to (4×3)/(2×1) = 6.
Model answers
- gpt-oss-20b (openai/gpt-oss-20b): b
- qwen-3-8-27b (qwen/qwen3.8-27b): b
- nemotron-3-super (nvidia/nemotron-3-super-120b-a12b:free): b
- gemini-3-8-flash (gemini-3.8-flash-low): b
- gemini-3-1-pro (gemini-3.1-pro-high): b
- claude-opus-4-6 (claude-opus-4-6-thinking): b