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) Prove that if m + n and n+p are even integers, where m, n, and p are integers, then m + p is even. What kind of proof did you use?

) Prove that if m + n and n+p are even integers, where m, n, and p are integers, then m + p is even. What kind of proof did you use?

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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Questions: (1) Prove that if m+n and n+p are even integers, where m, n, and p are integers, then m + p is even. What kind of proof did you use? (2) Give a proof by contradiction of theorem "If n² + 1 is odd, then n is even" (3) There are 18 mathematics majors and 325 computer science majors at a college. a) In how many ways can two representatives be picked so that one is a mathematics major and the other is a computer science major? b) In how many ways can one representative be picked who is either a mathematics major or a computer science major?
Transcribed Image Text:Questions: (1) Prove that if m+n and n+p are even integers, where m, n, and p are integers, then m + p is even. What kind of proof did you use? (2) Give a proof by contradiction of theorem "If n² + 1 is odd, then n is even" (3) There are 18 mathematics majors and 325 computer science majors at a college. a) In how many ways can two representatives be picked so that one is a mathematics major and the other is a computer science major? b) In how many ways can one representative be picked who is either a mathematics major or a computer science major?
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