One hundred points are given inside a cube of side length one. Prove that there are four of these points that span a tetrahedron whose volume is at most 1 99 •

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 22E
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One hundred points are given inside a cube of side length one. Prove that there are four of these
points that span a tetrahedron whose volume is at most
1
99
•
Transcribed Image Text:One hundred points are given inside a cube of side length one. Prove that there are four of these points that span a tetrahedron whose volume is at most 1 99 •
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