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2 sets from {3, 4, 5, ...,13, 14} (I Soros Olympiad 1994-95 R1 9.1 10.1)

Source:

July 30, 2021

combinatoricsSubsets

Problem Statement

Divide the set of twelve numbers

A = \{3, 4, 5, ...,13, 14\}

into two sets

B

and

C

'of six numbers each according to this condition: for any two different numbers with

B

their sum does not belong to

B

and for any two different numbers from

C

, the sum does not belong to

C