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JEE Mains · Maths · STD 11 - 6. permutation and combination
The number of \(4 -\)digit numbers which are neither multiple of \(7\) nor multiple of \(3\) is ..... .
- A \(9852\)
- B \(2457\)
- C \(5143\)
- D \(6000\)
Answer & Solution
Correct Answer
(C) \(5143\)
Step-by-step Solution
Detailed explanation
\(\mathrm{A}=4-\text { digit numbers divisible by } 3\) \(\mathrm{~A}=1002,1005, \ldots, 9999\) \(9999=1002+(\mathrm{n}-1) 3\) \(\Rightarrow(n-1) 3=8997 \Rightarrow n=3000\) \(B=4-\text { digit numbers divisible by } 7\) \(B=1001,1008, \ldots, 9996\)…
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