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Omni-MATH / Betty has a 3×4 grid of dots. She colors each dot either red or maroon. Compute the number of ways Betty can color the grid such that there is no rectangle whose sides are parallel…

Problem

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

problem

Betty has a 3×43 \times 4 grid of dots. She colors each dot either red or maroon. Compute the number of ways Betty can color the grid such that there is no rectangle whose sides are parallel to the grid lines and whose vertices all have the same color.
Plain-text mathematical notation (without MathML)
Betty has a 3×4 grid of dots. She colors each dot either red or maroon. Compute the number of ways Betty can color the grid such that there is no rectangle whose sides are parallel to the grid lines and whose vertices all have the same color.
Original LaTeX notation
Betty has a $3 \times 4$ grid of dots. She colors each dot either red or maroon. Compute the number of ways Betty can color the grid such that there is no rectangle whose sides are parallel to the grid lines and whose vertices all have the same color.

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Source and history

task_id
cfe5e77e-f60f-56e5-bac7-bc028cbf6e5d
task_key
test--cfe5e77e-f60f-56e5-bac7-bc028cbf6e5d
task_revision_id
1
config / split
/ test

Official source

initial import