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Show that . Give an interpretation involving subsets.

Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye ISBN: 9780321629111 32

Solution for problem 44E Chapter 2

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 44E

Show that . Give an interpretation involving subsets.

Step-by-Step Solution:

Solution: n n Step 1: we need to show Ck Cn-k And also want to give an interpretation involving subsets. Step 2: n 1) By the definition of Ck n n! C k= k! (nk)! Since k= n-(n-k) (by substituting) n! nC k (n(nk))! (nk)! By the commutative property of multiplication nC = n! = C k (nk)!(n(nk))! n-k That means n n Ck Cn-k Hence the proof.

Step 3 of 3

Chapter 2, Problem 44E is Solved
Textbook: Probability and Statistics for Engineers and the Scientists
Edition: 9
Author: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye
ISBN: 9780321629111

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Show that . Give an interpretation involving subsets.

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