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# Help with counting

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The 5*5 grid shown contains a collection of squares with sizes from 1*1 to 5*5. How many of these squares contain the black square? Jun 2, 2021

#1
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number of 1x1 squares that contain the black square  =  1

number of 2x2 squares that contain the black square  =  4

number of 3x3 squares that contain the black square  =  4

number of 4x4 squares that contain the black square  =  4

number of 5x5 squares that contain the black square  =  1

I counted a total of  14  squares that contain the black square.

Jun 2, 2021

#1
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number of 1x1 squares that contain the black square  =  1

number of 2x2 squares that contain the black square  =  4

number of 3x3 squares that contain the black square  =  4

number of 4x4 squares that contain the black square  =  4

number of 5x5 squares that contain the black square  =  1

I counted a total of  14  squares that contain the black square.

hectictar Jun 2, 2021
#2
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See  here  :   https://web2.0calc.com/questions/counting-question_35   