Squared!

Probability Level 4

A rectangle with sides (2m-1) and (2n-1) is divided into squares of unit length by drawing parallel lines as shown. Then the number of rectangles possible with odd side lengths is

Note A Square is also a rectangle.

4 m + n − 1 4 ^ {m+n-1} ( m n ) 2 (mn)^{2} mn(m+1)(n+1) ( m + n + 1 ) 2 (m+n+1)^{2}

Eshan Balachandar by Eshan Balachandar , 22, India

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