JEE Mains · Maths · STD 11 - 6. permutation and combination
Number of \(4-\)digit numbers that are less than or equal to \(2800\) and either divisible by \(3\) or by \(11\) , is equal to \(............\).
- A \(710\)
- B \(712\)
- C \(714\)
- D \(716\)
Answer & Solution
Correct Answer
(A) \(710\)
Step-by-step Solution
Detailed explanation
\(1000-2799\) Divisible by \(3\) \(1002+( n -1) 3=2799\) \(n =600\) Divisible by \(11\) \(1-2799 \rightarrow\left[\frac{2799}{11}\right]=[254]=254\) \(1-999=\left[\frac{999}{11}\right]=90\) \(1000-2799=254-90=164\) Divisible by \(33\)…
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