Math Challenge Problem
The Math Challenge problem has returned to UNC's School of Mathematical Sciences! This is a problem that everyone is welcomed to try their hand at. New problems twice a month.
February Challenge I
Pawn Only Chess gives each player 8 pawns and no other pieces. The standard starting position is to have all pawns on the player's second row (just like they are in regular chess). This is not the only way you might think of starting though. Call a pawn placement reasonable if each column on the board contains exactly one pawn of each color, and has the white pawn "below" the black pawn (so that the pawns do not have an unobstructed path to the far end of the board).
The Challenge: How many reasonable pawn placements are there?
Submit solutions to Ross 2239G or by email to firstname.lastname@example.org.
Deadline: Monday, February 15th.
Win PRIZES! A winner will be selected from all correct answers received for each challenge problem to receive a fun math prize of his or her choice.
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