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Omni-MATH / Tessa picks three real numbers x,y,z and computes the values of the eight expressions of the form ±x±y±z. She notices that the eight values are all distinct, so she writes the expr…

Problem

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problem

Tessa picks three real numbers x,y,zx, y, z and computes the values of the eight expressions of the form ±x±y±z\pm x \pm y \pm z. She notices that the eight values are all distinct, so she writes the expressions down in increasing order. How many possible orders are there?
Plain-text mathematical notation (without MathML)
Tessa picks three real numbers x,y,z and computes the values of the eight expressions of the form ±x±y±z. She notices that the eight values are all distinct, so she writes the expressions down in increasing order. How many possible orders are there?
Original LaTeX notation
Tessa picks three real numbers $x, y, z$ and computes the values of the eight expressions of the form $\pm x \pm y \pm z$. She notices that the eight values are all distinct, so she writes the expressions down in increasing order. How many possible orders are there?

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Source and history

task_id
d598e335-b2c8-55cb-a4ec-667115018d04
task_key
test--d598e335-b2c8-55cb-a4ec-667115018d04
task_revision_id
1
config / split
/ test

Official source

initial import