Prove that for all positive integers k < n, the equality n n n =2n-k k k i=k holds.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 23E: Let a and b be integers such that ab and ba. Prove that b=0.
Question

How do you prove this?

Prove that for all positive integers k < n, the equality
n
n
n
=2n-k
k
k
i=k
holds.
Transcribed Image Text:Prove that for all positive integers k < n, the equality n n n =2n-k k k i=k holds.
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