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A table 4 4 (Posted on 2017-02-05) Difficulty: 2 of 5
At a certain convention participate 100 persons. It is known that each participant personally knows (and is known by) at least 67 others.

A certain lady would like to dine with other 3 at the same table, provided they know her and they know each other.

Prove that this is possible.

Advise how actually she can arrange it.

No Solution Yet Submitted by Ady TZIDON    
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Hints/Tips HINT.............please complete the solution | Comment 1 of 2

Let us call the lady A.   From the list of 100 names ERASE all those that don't know her- i.e. 32 names- she knows herself for sure...and you are left with 68. invite any participant on the list and erase another 32 that know neither A nor B.

Does anyone care to complete my explanation to cater to A's initial whims?


  Posted by Ady TZIDON on 2017-03-18 11:32:23
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