Chess

Probability Level 2

How many different types of squares can be made from a chess board?

204 64 100 216

Thahir Pc by Thahir PC , 23, India

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1 solution

Thahir Pc
Jul 13, 2014

There are 8 parallel rows and 8 vertical rows in a chess board So number of squares with single phase=8×8=64, number of squares whith 4 phase=7×7=49and so on. which gives 8×8=64 7×7=49 6×6=36 5×5=25 4×4=16 3×3=9 2×2=4 1×1=1 Adding all these we have 64+49+36+25+16+9+4+1=204

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Please reword the problem to make the idea clear, for example; A chessboard is a checkered 8x8 square grid. How many distinct squares can be drawn in total using the edges of these smallest squares inclusive? (Posting a relevant picture would enhance the idea of your problem!) PS: The texture of a chessboard has nothing to deal with combinations, so it is preferred to add a small description.

Chrishan Silva - 6 years, 10 months ago

Possible interpretation:

There are 8 types of squares: 1x1, 2x2, 3x3, 4x4, 5x5, 6x6, 7x7 and 8x8 ones.

Rick B - 6 years, 10 months ago

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