In a game of chess with standard rules, what is the maximum number of queens, rooks, bishops, knights, and kings both black and white that can be on the board?
The anwser is:
My first though was
32 (every pawn is promoted to another piece by reaching the bank rank)
But the pawns can't pass trough the enemy pawns that are on the same file. All the other pieces can move away though.
The pawns can side step the enemy by capturing (lets say from the a-file to the b-file).
Which will reduce the total by one. But will let the enemy pawn on the a-file through and let the two friendly pawns on b-file through.
So one pawn is sacrificed, allowing the remaining a-file and b-file pawns to be promoted.
Now we just repeat this:
pawn on c-file hits pawn on d-file
pawn on e-file hits pawn on f-file
pawn on g-file hits pawn on h-gile
So in total:
We have to sacrifice 4 pawns which gives us a total of 28 non-pawn pieces.