JEE Mains · Maths · STD 11 - 7. binomial theoram
The largest natural number \(n\) such that \(3^{ n }\) divides \(66 !\) is \(............\).
- A \(30\)
- B \(31\)
- C \(32\)
- D \(33\)
Answer & Solution
Correct Answer
(B) \(31\)
Step-by-step Solution
Detailed explanation
\({\left[\frac{66}{3}\right]+\left[\frac{66}{9}\right]+\left[\frac{66}{27}\right]}\) \(22+7+2=31\)
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