Say I had a group of ten people who did a race, and these were these results:
Player A: First place
Player B: Second place
Player C: Third place
Player D: Fourth place
... and so on.
So because Player A won, he gets ten points (the amount of players). Player B gets 9, Player C gets 8, and so on.
Is there a formula/equation I can use to calculate the amount of points for a player given the amount of players (like ten) and the place of the player (like sixth)?
For $10$ players, you could use that the $k$-th place finisher gets $11-k$ points.
See if you can extend this idea to a more general field of $n$ players.