benchmarks.wiki

benchmarks.wiki / Public workspace

Omni-MATH / In how many ways can we enter numbers from the set {1,2,3,4} into a 4×4 array so that all of the following conditions hold? (a) Each row contains all four numbers. (b) Each column …

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

In how many ways can we enter numbers from the set {1,2,3,4}\{1,2,3,4\} into a 4×44 \times 4 array so that all of the following conditions hold? (a) Each row contains all four numbers. (b) Each column contains all four numbers. (c) Each "quadrant" contains all four numbers. (The quadrants are the four corner 2×22 \times 2 squares.)
Plain-text mathematical notation (without MathML)
In how many ways can we enter numbers from the set {1,2,3,4} into a 4×4 array so that all of the following conditions hold? (a) Each row contains all four numbers. (b) Each column contains all four numbers. (c) Each "quadrant" contains all four numbers. (The quadrants are the four corner 2×2 squares.)
Original LaTeX notation
In how many ways can we enter numbers from the set $\{1,2,3,4\}$ into a $4 \times 4$ array so that all of the following conditions hold? (a) Each row contains all four numbers. (b) Each column contains all four numbers. (c) Each "quadrant" contains all four numbers. (The quadrants are the four corner $2 \times 2$ squares.)

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
aa25c8ea-c114-5fdd-8d6d-ff9f9abfcc53
task_key
test--aa25c8ea-c114-5fdd-8d6d-ff9f9abfcc53
task_revision_id
1
config / split
/ test

Official source

initial import