Question

On a chess board, in how many different ways can 6 consecutive squares be chosen on the diagonals along a straight path ?
1. 4
2. 6
3. 8
4. 12

Answer 1

Correct Answer - Option 2 : 6

There are 2 diagonals with 8 squares each on the chess board and we have to choose 6 consecutive square. 

We will assume block of 6 consecutive squares as one.

So we are left with 3 places on the chess board where it can be arranged by selecting any one of the place out of three i. e. ³C₁ = 3.

Similarly, for other diagonal too we will get 3 different ways

So, in total we have 6 different ways of choosing 6 consecutive squares.

Hence, option 2 is correct.