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6. Consider the identity: *(*) - -(: :) k - 1 a. Is this true? Try it for a few values of n and k. b. Use the formula for () to give an algebraic proof of the identity. c. Give a combinatorial proof of the identity.

6. Consider the identity: *(*) - -(: :) k - 1 a. Is this true? Try it for a few values of n and k. b. Use the formula for () to give an algebraic proof of the identity. c. Give a combinatorial proof of the identity.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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6. Consider the identity: *(*) - -(: :) k - 1 a. Is this true? Try it for a few values of n and k. b. Use the formula for () to give an algebraic proof of the identity. c. Give a combinatorial proof of the identity.
Transcribed Image Text:6. Consider the identity: *(*) - -(: :) k - 1 a. Is this true? Try it for a few values of n and k. b. Use the formula for () to give an algebraic proof of the identity. c. Give a combinatorial proof of the identity.
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