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Re: What is the maximum number of 3x3 squares that can be formed [#permalink]

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30 May 2012, 14:14

1

This post received KUDOS

say the board is as below (6*6):

1 2 3 4 5 6 2 3 4 5 6

for 3*3: start from 1st row and 3rd row. Using each row we can have maximum 4, 3*3 square. we can continue the process for (2nd and 4th row) = 4 squares, (3rd and 5th row) = 4 squares, and (4th and 6th row) = 4 squares Total = 4+4+4+4=16 (3*3)squares

Re: What is the maximum number of 3x3 squares that can be formed [#permalink]

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28 Jul 2012, 04:05

mneeti wrote:

Is there any direct formula to calculate it?

Thanks in advance !

Not really, but no need for a formula.

Think of, for example, choosing your 3 x 3 square by choosing first its left bottom corner. You have to be sure that the upper right corner will still be inside the big board. It means that you can choose the bottom left corner anywhere in the bottom left area of 4 x 4. Which means 4 x 4 = 16 possibilities. Or you can concentrate on any other corner of the 3 x 3 square, and then figure out where that corner can be. I don't think you need to force here some formula saying 4C1 x 4C1 for choosing those corners...or anything similar.

So, answer D.
_________________

PhD in Applied Mathematics Love GMAT Quant questions and running.

Re: What is the maximum number of 3x3 squares that can be formed [#permalink]

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28 Jul 2012, 07:29

I don't like the structure of this question. The question does not explicitly state how large each square is. I know there is a picture, but the question does not reference the picture at all.

Re: What is the maximum number of 3x3 squares that can be formed [#permalink]

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09 Feb 2017, 02:34

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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