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 •
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
•](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc97ce97b-1601-4ccf-898f-9b871e4359e2%2Fa8935f5e-d418-4da2-83e4-0184c43fed1a%2F1qls1v_processed.png&w=3840&q=75)
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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