Suppose that you want to choose a (2k + 1) − element subset of the n − element set (1, 2, ⋯ , k ). You decide to do this bychoosing the first middle element, then the k elements to its left, then the k elements to its right.Formulate the combinatorial identity you get from this.
Suppose that you want to choose a (2k + 1) − element subset of the n − element set (1, 2, ⋯ , k ). You decide to do this bychoosing the first middle element, then the k elements to its left, then the k elements to its right.Formulate the combinatorial identity you get from this.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.3: The Characteristic Of A Ring
Problem 13E
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Suppose that you want to choose a (2k + 1) − element subset of the n − element set (1, 2, ⋯ , k ). You decide to do this by
choosing the first middle element, then the k elements to its left, then the k elements to its right.
Formulate the combinatorial identity you get from this.
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