A nim game with 4 piles In the game of Nim there are 4 piles sizes 9,10,11,12. Im trying to figure out who has the winning strategy, is it an N-position or P position state.

Take the XOR of the numbers in binary and you get $0100_2$. Since it is not zero, this is an N position. You need to find a move that makes it zero. Take four from the twelve pile.