ms, 8 grams and so on until 2-1 grams at for any natural number between 1 and bset of W whose total weight in grams at no other set of powers has the same p he mathematical sense of the previous p-

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 90E
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4. Suppose you have a set W containing n weights, namely 1 gram,
2 grams, 4 grams, 8 grams and so on until 2-1 grams.
Prove that for any natural number between 1 and 2n – 1, you can
find a subset of W whose total weight in grams is the number
chosen.
· Prove that no other set of powers has the same property.
.
Explain the mathematical sense of the previous point.
Transcribed Image Text:4. Suppose you have a set W containing n weights, namely 1 gram, 2 grams, 4 grams, 8 grams and so on until 2-1 grams. Prove that for any natural number between 1 and 2n – 1, you can find a subset of W whose total weight in grams is the number chosen. · Prove that no other set of powers has the same property. . Explain the mathematical sense of the previous point.
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