A rectangle with sides 2 m – 1 and 2 n – 1 is divided into squares of unit length by…
Mathematics · JEE Advanced · NTA Exams — Permutations and Combinations
A rectangle with sides 2m – 1 and
2n – 1 is divided into squares of unit length by drawing parallel lines as shown in the diagram, then the number of rectangles possible with odd side lengths is
2n – 1 is divided into squares of unit length by drawing parallel lines as shown in the diagram, then the number of rectangles possible with odd side lengths is
- mn (m + 1) (n + 1)
- m2 n2
- (m + n + 1)2
- 4m + n – 1
Answer
(A) mn ( m + 1) ( n + 1)
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