MathDB

a tournament is playing between n persons. Everybody plays with everybody one time. There is no draw here. A number

k

is called

n

good if there is any tournament such that in that tournament they have any player in the tournament that has lost all of

k

's. prove that 1.

n

is greater than or equal to

2^{k+1}-1

2.Find all

n

such that

2

is a n-good

8