benchmarks.wiki / Public workspace

Omni-MATH / An ordered pair of sets (A,B) is good if A is not a subset of B and B is not a subset of A. How many ordered pairs of subsets of {1,2,…,2017} are good?

Problem

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

problem

An ordered pair of sets (A,B)(A, B) is good if AA is not a subset of BB and BB is not a subset of AA. How many ordered pairs of subsets of {1,2,…,2017}\{1,2, \ldots, 2017\} are good?
Plain-text mathematical notation (without MathML)
An ordered pair of sets (A,B) is good if A is not a subset of B and B is not a subset of A. How many ordered pairs of subsets of {1,2,…,2017} are good?
Original LaTeX notation
An ordered pair of sets $(A, B)$ is good if $A$ is not a subset of $B$ and $B$ is not a subset of $A$. How many ordered pairs of subsets of $\{1,2, \ldots, 2017\}$ are good?

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

Official source

initial import