Need math help with axiomatic systems and theorems

Jan 7th, 2016
DreamIt
Category:
Engineering
Price: $5 USD

Question description

Given the following axioms: 

Axiom 1: Each game is played by two distinct teams 
Axiom 2: There are at least four teams 
Axiom 3: There are at least six games played 
Axiom 4: Each team played at most 4 games. 
I need help developing a third theorem and verifying the second is true. 
Theorem 1: If there are exactly 4 teams, then there are at most 8 games. 
Theorem 2: If there are exactly 6 games, then there are at most 12 teams. 
Theorem 3:

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(Top Tutor) Daniel C.
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