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.

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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.
b) show that if you choose 51 different numbers
from 1, 2,. .. , 100 there are some two numbers
that add to 101
Transcribed Image Text: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. b) show that if you choose 51 different numbers from 1, 2,. .. , 100 there are some two numbers that add to 101
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