Prove that n! (n-r)!r! (4) is the number of subsets (combinations) with r elements which can be chosen from the set M with n elements.
Prove that n! (n-r)!r! (4) is the number of subsets (combinations) with r elements which can be chosen from the set M with n elements.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.2: Properties Of Group Elements
Problem 30E: 30. Prove statement of Theorem : for all integers .
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![Prove that
n!
(n-r)!r!
(4)
is the number of subsets (combinations) with r elements which can be chosen from the set M with
n elements.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F789c4e09-f976-4ea6-a8fa-7747f13e5f9a%2F3b68ba8c-e337-48e9-a8f1-25e0643a0387%2Fvfagwi.jpeg&w=3840&q=75)
Transcribed Image Text:Prove that
n!
(n-r)!r!
(4)
is the number of subsets (combinations) with r elements which can be chosen from the set M with
n elements.
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