0

Guest

Courses New

How to find number of rectangle in square size shape chess board of any dimension?

How to find number of rectangle in square size shape chess board of any dimension?

Grade:12th pass

3 Answers

Umakant biswal
5349 Points
6 years ago
A rectangle is formed by two vertical and two horizontal lines. On an 8x8chessboard, 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.
in the same way u have to find out for others also ./ 
HOPE IT CLEARS ..
 
Prashant yadav
18 Points
6 years ago
But sir in this there are some cases when two adjacent vertical lines and two adjacent horizontal lines they will form square not rectangle and there are many other cases like this sir please clear my doubt
anjali
26 Points
6 years ago
Hello first clearing your doubt all squares are rectangles now answering your question if there are m rows amd n columns then the number of rectangles are nC2×mC2

Think You Can Provide A Better Answer ?

Other Related Questions on Magical Mathematics[Interesting Approach]

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More