In how many ways can $n$ rooks be placed on a $2n$ x $2n$ chessboard, so that they cover all the white fields?
Problem
Source: VI International Festival of Young Mathematicians Sozopol, Theme for 10-12 grade
Tags: combinatorics, Rooks, Chessboard
Source: VI International Festival of Young Mathematicians Sozopol, Theme for 10-12 grade
Tags: combinatorics, Rooks, Chessboard
In how many ways can $n$ rooks be placed on a $2n$ x $2n$ chessboard, so that they cover all the white fields?