Problem 1. Consider a set S of nk balls, each of which has one of n distinct colors and one of ndistinct diameters. Furthermore, there are exactly k balls of each color and exactly k balls of eachdiameter. Show that n balls can be selected such that every diameter and color appears in the finalselection.

Answered: Image /qna-images/answer/fc7335bb-6a82-4ebe-ac8a-68d0b62a98e6.jpg

Answered: stinct diameters. Furthermore, there…

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 15E

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stinct diameters. Furthermore, there are exactly k balls of each color and exactly k balls of each ameter. Show that n balls can be selected such that every diameter and color appears in the final -lection.