4. Take a regular 6-face die (with faces numbered from 1 to 6), and select four faces. Prove that among those four faces, two are on the opposite sides of the cube.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 21E
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4. Take a regular 6-face die (with faces numbered from 1 to 6), and select four faces. Prove that
among those four faces, two are on the opposite sides of the cube.
Transcribed Image Text:4. Take a regular 6-face die (with faces numbered from 1 to 6), and select four faces. Prove that among those four faces, two are on the opposite sides of the cube.
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