T(20,3) = 6 because the number of inequivalent ways of placing 3 10 X 10 square tiles in an 20 X 20 square is 6: _______________________________________ _______________________________________ | | | | |___________________| | | | | | | | | | | | | | | | | | | | . | . | | . | | | | | | | . | | | | | | | | | | | | | | | | | | | |___________________|___________________| |___________________| | | | | | |___________________| | | | | | | | | | | | | | | | | | | | . | | | . | | | | | | | | | | | | | | | | | | | | | | | | | | |___________________|___________________| |___________________|___________________| _______________________________________ _______________________________________ | | | | | | | |___________________| | | | | | | | |___________________| | | | | | | | . | | | . | | | | | | | | | | . | | | | | | | | | . | | | | | | | |___________________| | |___________________| | | | | | | | | |___________________| | | | | | | | |___________________| | | | | | | | . | | | . | | | | | | | | | | | | | | | | | | | | | | | | | | |___________________|___________________| |___________________|___________________| _______________________________________ _______________________________________ | | | | | | | | | | | | | | | | | | | |___________________| | | | | . | | | . |___________________| | | | | | | | | | | | | | | | | | | | | . | | | | |___________________| | |___________________| . | | | | | | | | | | | | | | | | | | | | |___________________| | | | | . | | | . |___________________| | | | | | | | | | | | | | | | | | | | | | | | | |___________________|___________________| |___________________|___________________|