Magical Mathematics[Interesting Approach]> How to find number of rectangle in square...

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

Prashant yadav , 8 Years ago

Grade 12th pass

3 Answers

Umakant biswal

Last Activity: 8 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

Last Activity: 8 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

Last Activity: 8 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 nC2Ã—mC2