AP EAMCET · Maths · Permutation Combination
On an \(n \times n\) chessboard, the total number of rectangles which are not squares is 350 . Then, the number of white squares on the chessboard is .......
- A 32
- B 50
- C 18
- D 72
Answer & Solution
Correct Answer
(C) 18
Step-by-step Solution
Detailed explanation
Number of rectangles in a chess board (including squares) \(=\Sigma n^3\) \(=\frac{n^2(n+1)^2}{4}\) Number of squares in a chess board \(=\Sigma n^2=\frac{n(n+1)(2 n+1)}{6}\) So, Number of rectangles which are not squares…
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