Question

Total number of ways of selecting two white squares on a normal chess board, so that they don't belong to the same row or column.

Answer 1

Answer:

64C3-1148.

Calculate the ways in which 3 boxes can be selected which are in a straight line.

This can be divided into 2:

1) Diagonal=2*(3C3+4C3+5C3+....8C3)=252

2) Vertical/Horizontal

=2*(8*8c3)=896

Subtract this from the total number of ways of selecting 3 boxes on the chess board. This gives us the answer.