What is the combinatorial proof of this? (not using algebra) 25. Prove the identity2(2nkk=by counting the number of subsets of size n of the set{a1, a2, ..., an, b1, b2, . , bn}.

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Description: What is the combinatorial proof of this? (not using algebra) 25. Prove the identity2(2nkk=by counting the number of subsets of size n of the set{a1, a2, ..., an, b1, b2, . , bn}.

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College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

Problem 38SE: Suppose a set A has 2,048 subsets. How many distinct objects are contained in A?

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What is the combinatorial proof of this? (not using algebra)

25. Prove the identity
2
(2n
k
k=
by counting the number of subsets of size n of the set
{a1, a2, ..., an, b1, b2, . , bn}.

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