der is a chessboard of m/n dimension......calculate no of square,reactangles & rectangles wich r not squares...in the chess board
1first calcululate the total number of squares in the chess board
it is 12 + 22 + ........ + 82
now a rectangle is formed when 2 horizontal and 2 vertical lines are chosen which can be done in (nC2)*(nC2) ways (n=9 here)
but this also includes squares so subtract the no of squares from the total rectangles to get the no of rectangles which are not squares
1mrnobody1991...
pls post a complete solution asap........
62Read these from links
[url=http://targetiit.com/iit_jee_forum/posts/number_of_rectangles_in_a_chess_board_73.html]No of Recatangles in a chessboard[/url]
and
[url=http://targetiit.com/iit_jee_forum/posts/number_of_non_congruent_rectangles_in_a_chess_boar_72.html]No of non-congruent rectangles on a hess board[/url]
1@mrnobody19 how di u kno no. of squares in a chess board is
12+22+........+82(this is for 8/8 dimension chessboard)
it is not the normal chess board itz of m/n dimension
rest of ur answer is okay
62der is a chessboard of m/n dimension......calculate no of square,reactangles & rectangles wich r not squares...in the chess board
No of squares will be
12+22+... (m2) (if m<=n)
No of rectangles is (m+1)C2 x (n+1)C2
No of rectangles which are not squares is the difference of the second and the first number above :)