Just 10?

Probability Level 2

Count the number of squares on a $10 * 10$ chess board.

Try a Continuation Of this Problem .

The answer is 385.

3 solutions

Mehul Arora
Apr 11, 2015

The number Of Squares in $n*n$ Square is

${1}^{2}+{2}^{2}+{3}^{2}+.......{n}^{2}$

And, ${1}^{2}+{2}^{2}+{3}^{2}+.......{n}^{2}$ = $\dfrac {n(n+1)(2n+1)}{6}$

Putting $n=10$ , We get 385 $\ddot\smile$

Enjoy!

Now its good! :P

Nihar Mahajan - 6 years, 2 months ago

The question was confusing. I thought it meant spaces on a Chess board. This makes more sense, but the wording could be revised for clarification.

Colin Carmody - 6 years, 2 months ago

Sorry but I am not a moderator nor I can edit this question. We have to wait for the problem poser to read your comment.Or you can post this as a dispute. Thanks!

Nihar Mahajan - 6 years, 2 months ago

Well done @Mehul Arora ! I liked the generelised form for this, it can make everything a lot easier.

Sravanth C. - 6 years, 1 month ago

Thanks! @Sravanth Chebrolu I am Glad that you liked it $\huge\ddot\smile$

Mehul Arora - 6 years, 1 month ago

Welcome @Mehul Arora !

Sravanth C. - 6 years, 1 month ago

@Sravanth C. – $\huge\ddot\smile$

Mehul Arora - 6 years, 1 month ago

Sai Ram
Jun 11, 2015

By using the above formula and putting n= 10, we get , 385.

Please up vote if you like it.

Arnit Panda
Apr 11, 2015

Let no. of squares be n, then by the formula f(n) = n * (n + 1) * (2 * n + 1) / 6 the answer is 385.

Idont understand why did you do f(n) = ......

Filipe Lopes - 6 years ago

Just 10?

Try a Continuation Of this Problem .

The answer is 385.

3 solutions

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