Question

In how many ways is it possible to choose a white square and black square on a chessboard so that the squares must not lie in the same row or same column?

Answer 1

Answer: 768

Step-by-step explanation:

• A chessboard contains 32 white squares, so you have 32 possible choices for the white square.
• Now in the same column or row of this square lie black square which you can't choose
• No. of possible black squares that could be chosen=32-8

                                                                                                   =24

• Total number of choices left= 32×24

                                                         = 768

• Hence,there are 768 ways to choose the desired white and black square not lying in the same row or column.