short cut for this question.
Question is asking, maximum value of k for which 3^k is factor of p(=30!).
Strategy: go on dividing 30 by 3, since the maximum base value of k is 3, until division is not possible. Lastly, add all the quotients. That is the maximum value of k.
Solution: 30/3 –> 10
10/3 –> 3
3/3 –> 1
Adding, 10+3+1=14 Ans.
I hope this is the right answer choice and helped you.