JEE Mains · Maths · STD 11 - 6. permutation and combination
The sum of all \(3 -\)digit numbers less than or equal to \(500,\) that are formed without using the digit \("1"\) and they all are multiple of \(11 ,\) is ..... .
- A \(7530\)
- B \(7744\)
- C \(9501\)
- D \(1452\)
Answer & Solution
Correct Answer
(B) \(7744\)
Step-by-step Solution
Detailed explanation
\(209,220,231, \ldots, 495\) \(\text { Sum }=\frac{27}{2}(209+495)=9504\) Number containing \(1\) at unit place \(\underline{2}\) \(\underline{3}\) \(\underline{1}\) \(\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\underline{3}\) \(\underline{4}\)…
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