SOLUTION: A standard checkerboard has 64 squares alternating black and red on a 8 by 8 grid. How many of the 1296 rectangles on a checkerboard contain more than one red square?
Algebra ->
Permutations
-> SOLUTION: A standard checkerboard has 64 squares alternating black and red on a 8 by 8 grid. How many of the 1296 rectangles on a checkerboard contain more than one red square?
Log On
Question 1167162: A standard checkerboard has 64 squares alternating black and red on a 8 by 8 grid. How many of the 1296 rectangles on a checkerboard contain more than one red square? Answer by ikleyn(52776) (Show Source):
ANSWER. 1296 - 64 = 1232 rectangles on a checkboards contain more than one red square.
JUSTIFICATION. 32 red squares are ONLY rectangles on a chessboard that contain only one red square.
32 black squares are ONLY rectangles on a chessboard that do not contain red squares, at all.
The rest of rectangles contain MORE than one red square.
