Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
n-digit numbers are formed using only three digits 2, 5 and 7. The smallest value of n for which 900 such distinct numbers can be formed is :
MathematicsPermutation CombinationJEE MainJEE Main 2018 (15 Apr)
Options:
  • A 9
  • B 7
  • C 8
  • D 6
Solution:
1665 Upvotes Verified Answer
The correct answer is: 7

n- digit number are formed using only three digits 2, 5 and 7 with repetition =3n.

Since, 36<900 and 37>900

So, n=7.

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.