Question

The number of ways of selecting $3$ squares on a chess board which lies on a diagonal of maximum length is

• A. $112$
• B. $56$
• C. $224$
• D. $138$

Answer 1

The correct option is A $112$

Diagonal of maximum length in chess board is $8$.

Since chess board contains two such diagonal,

number of required ways is $=2{\times }^8{C}_3=112$