Now Make Rectangles my friend
Actually I was once with my friend, we were playing chess. Then out of nowhere he started thinking - and i asked him what he was thinking about. He said i wanted to know how many squares can be made with a chess board. is said 1 + 4 + 9 + 16+ 25 + 36 + 49 +64. After thinking for a while he said he understood what i had done to get the answer. Now i thought of puzzling him more - i asked him how many Rectangles can be made with such a typical chess board but with length 4 squares and width 4 squares My hint : 1)Visualize a rectangle 2)Think a bit and answer is with you.
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1 solution
Actually this problem is much easier than the no. of squares how is a rectangle made - simple, by two sets of parallel lines where adjacent lines inclined at 90 degrees so we can pick 5 vertical and 5 horizontal lines so answer is 5c2 * 5c2 = 100 such rectangles