JEE Mains · Maths · STD 11 - 8. sequence and series
Let \(A=\sum_{i=1}^{10} \sum_{j=1}^{10} \min \{i, j\}\) and \(B=\sum_{i=1}^{10} \sum_{j=1}^{10}\max \{i, j\}\). Then \(A+B\) is equal to
- A \(1150\)
- B \(1200\)
- C \(1120\)
- D \(1100\)
Answer & Solution
Correct Answer
(D) \(1100\)
Step-by-step Solution
Detailed explanation
\(A=\sum_{i=1}^{10} \sum_{j=1}^{10} \min \{i, j\}\) \(B=\sum_{i=1}^{10} \sum_{j=1}^{10} \max \{ i , j \}\) \(A =\sum_{ j =1}^{10} \min ( i , 1)+\min ( j , 2)+\ldots \min ( i , 10)\)…
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