On a chess board, in how many different ways can 6 consecutive squares be chosen on the diagonals along a straight path ?
4
6
8
12
Here’s a typical 8 × 8 chess board: There are two diagonals, each having 8 squares. On one diagonal, 6 consecutive squares can be chosen in 3 ways. So, total number of ways of choosing 6 consecutive squares on the diagonals along a straight path = 3 + 3 = 6
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