JEE Mains · Maths · STD 11 - 6. permutation and combination
The number of 3 -digit numbers, that are divisible by 2 and 3 , but not divisible by 4 and 9 , is______.
- A 120
- B 145
- C 125
- D 143
Answer & Solution
Correct Answer
(C) 125
Step-by-step Solution
Detailed explanation
No, of 3 digits \(=999-99=900\) No. of 3 digit numbers divisible by 2 & 3 i.e. by 6 \(\frac{900}{6}=150\) No. of 3 digit numbers divisible by 4 & 9 i.e. by 36 \(\frac{900}{36}=25\) \(\therefore\) No of 3 digit numbers divisible by \(2 ~\&~ 3\) but not by \(4 ~\&~ 9\)…
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