Sign in to follow this  
Followers 0
jijutdas2001@gmail.com

Number of Rectangles in a chess board


If there are 9 horizontal lines and 9 vertical lines in a chess board, how many rectanglescan be formed in the chess board?Please help me to solve this question

Share this post


Link to post
Share on other sites

A rectangle is formed by two vertical and two horizontal lines. On an 8x8 chessboard, you can choose two vertical lines in C(9, 2) = 9!/(2!*7!) = 36 different ways. Similarly you can choose two horizontal lines in 36 different ways. So, the answer is 36*36 = 1296.

Share this post


Link to post
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!


Register a new account

Sign in

Already have an account? Sign in here.


Sign In Now
Sign in to follow this  
Followers 0