In any groups of seven guests there are two guests who do, Mechanical Engineering

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In any groups of seven guests there are two guests who do

The following are true for the n guests of a Christmas party.

• In any group of three guests, there are two guests who do not know each other, and

• In any groups of seven guests, there are two guests who do know each other. At the end of the party, everyone gives a present to all the guests he or she knows. Prove that the total number of gifts given is at most 6n

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Mechanical Engineering: In any groups of seven guests there are two guests who do

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Mechanical Engineering: In any groups of seven guests there are two guests who do

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