n - 2 + 2 k -1 n – 2) + k – 2) n n – 2 k k Give a double counting/combinatorial proof of the following identity

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A: here we can simply use combinations to prove the result.

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Q: Prove that 1 +2 + 22 + 23 +. + 2" = 2n+1-1 for n2 1. Use proof by induction.

A: Brief explanation of the answer has been provided in the file attached below. If you have any doubts…

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A: By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

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A: This question can be solved using the four basic steps of mathematical induction.

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A: Follow the steps below.

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Q: Part b only please   Thankyou!!!

A: Function is given as,

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