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How many rectangles of all sizes (including squares) can be found in a grid made of 3 rows and 4 columns of unit squares?

1609Medium DSSSB TGT Computer Science 0 replies

How many rectangles of all sizes (including squares) can be found in a grid made of 3 rows and 4 columns of unit squares?

  • A60
  • B50
  • C40
  • D70
Correct answer: A

Explanation

A rectangle is fixed by choosing 2 of the 5 vertical grid lines and 2 of the 4 horizontal grid lines, giving C(5,2) × C(4,2) = 10 × 6 = 60.

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