Chess tournament [contest math]

Question

There are 15 players in chess tournament. And each player should play with all other players. Is it possible that each player will have exactly 5 games ended by draw?

I am trying to get contradiction but no results. On the one hand, there are total $105$ games.

How to get contradiction?

Answer 1

Hint:

• How many of the $105$ games would then be drawn?

Answer 2

Hint:

$15\times 5$ should count each such game twice. But what about that number?