Tetrominos are four squares stuck together along an edge (Tetris pieces). There are five distinct tetromino types: the straight, square, L-shaped, T-shaped, and Z-shaped tetromino. Is it possible to tile i.e., cover exactly without overlaps) an 8 x 8 chessboard with the following? If possible, give the tiling. If not, explain why. (a) 16 straight tetrominoes (b) 16 square tetrominoes (c) 16 L-tetrominoes (d) 16 T-tetrominoes (e) 16 Z-tetrominoes (f) 15 T-tetrominoes and one square tetromino Tetrominos are four squares stuck together along an edge (Tetris pieces). There are five distinct tetromino types: the straight, square, L-shaped, T-shaped, and Z-shaped tetromino. Is it possible to tile i.e., cover exactly without overlaps) an 8 x 8 chessboard with the following? If possible, give the tiling. If not, explain why. (a) 16 straight tetrominoes (b) 16 square tetrominoes (c) 16 L-tetrominoes (d) 16 T-tetrominoes (e) 16 Z-tetrominoes (f) 15 T-tetrominoes and one square tetromino