JEE MATHEMATICS MCQ: COMBINATIONS

1 Hard

1 of 1

Application +4 | -1

A rectangle of dimension

m \times n

(

m

and

n

being odd) is divided into square of unit length by drawing horizontal and vertical lines. The number of rectangles having side of odd unit length is

View answer and explanation

Correct option: B

\left(\frac{(m+1)(n+1)}{4}\right)^{2}

Option B (

\left(\frac{(m+1)(n+1)}{4}\right)^{2}

) is correct because it represents the number of rectangles with odd side lengths within the given rectangle.

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