Plz solve both parts within 30-40 mins I'll give you multiple upvote a) Show that from number 1, 2,... , 100 it ispossible to select 50 different numbers such thatthe sum of any two of the selected figures is not101.b) show that if you choose 51 different numbersfrom 1, 2,. .. , 100 there are some two numbersthat add to 101

As per our guidelines we are supposed to solve only one question. For the solution of the first…

Answered: a) Show that from number 1, 2,... , 100…

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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a) Show that from number 1, 2,... , 100 it is possible to select 50 different numbers such that the sum of any two of the selected figures is not 101.