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Omni-MATH / We wish to color the integers 1,2,3,…,10 in red, green, and blue, so that no two numbers a and b, with a−b odd, have the same color. (We do not require that all three colors be use…

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problem

We wish to color the integers 1,2,3,…,101,2,3, \ldots, 10 in red, green, and blue, so that no two numbers aa and bb, with a−ba-b odd, have the same color. (We do not require that all three colors be used.) In how many ways can this be done?
Plain-text mathematical notation (without MathML)
We wish to color the integers 1,2,3,…,10 in red, green, and blue, so that no two numbers a and b, with a−b odd, have the same color. (We do not require that all three colors be used.) In how many ways can this be done?
Original LaTeX notation
We wish to color the integers $1,2,3, \ldots, 10$ in red, green, and blue, so that no two numbers $a$ and $b$, with $a-b$ odd, have the same color. (We do not require that all three colors be used.) In how many ways can this be done?

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Source and history

task_id
1ad0dd0e-5931-52e3-bf2f-50ce5927e328
task_key
test--1ad0dd0e-5931-52e3-bf2f-50ce5927e328
task_revision_id
1
config / split
/ test

Official source

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