Total number of ways of selecting 2 white squares on a normal chess board if the squares are not from the same row or column is equal to

Question

Total number of ways of selecting 2 white squares on a normal chess board if the squares are not from the same row or column is equal to (A) 480 (B) 496 (C) 412 (D) 400

Tardigrade Admin · Accepted Answer

2 white squares can be selected in 32 C2 ways If they belong to some row or same column then 2(8 ⋅ 4 C 2) ways.

Q. Total number of ways of selecting $2$ white squares on a normal chess board if the squares are not from the same row or column is equal to

480

496

412

400

$2$ white squares can be selected in $^{32} C_{2}$ ways If they belong to some row or same column then $2 (8 \cdot^{4} C_{2})$ ways.

Q. Total number of ways of selecting 2 white squares on a normal chess board if the squares are not from the same row or column is equal to

480

496

412

400

2 white squares can be selected in 32C2​ ways If they belong to some row or same column then 2(8⋅4C2​) ways.

Q. Total number of ways of selecting $2$ white squares on a normal chess board if the squares are not from the same row or column is equal to

$2$ white squares can be selected in $^{32} C_{2}$ ways If they belong to some row or same column then $2 (8 \cdot^{4} C_{2})$ ways.