# Puzzle 25 | (Chessboard and dominos)

There is an 8 by 8 chessboard in which two diagonally opposite corners have been cut off.You are given 31 dominos, and a single domino can cover exactly two squares. Can you use the 31 dominos to cover the entire board?

**Answer:**

No

**Explanation:**

At first it seems that there were 8*8 = 64 squares

then 2 have been cut off so Squares remaining= 64-2 = 62

And there are 31 dominos, so they will cover the remaining chessboard coz = 31*2 = 62

But this is not the answer:

Lets visualize it:

Each domino we set on the chessboard will always take **1 Black** and **1 White** square.Therefore, **31 dominos** will take **31 white** square and 31 black squares exactly. On this chessbord however, we must have **32 black** and **30 white** squares. Hence it is not possible to do so.

This article is contributed by **Vikash Kumar**. Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above