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Question

An n-digit number is a positive number with exactly n digits. Nine hundred distinct n-digit numbers are to be formed using only the three digits 2, 5, and 7. The smallest value of n for which this is possible is 
  1. 6
  2. 7
  3. 8
  4. 9


Solution

The correct option is B 7
Distinct n-digit numbers which can be formed using digits 2, 5, and 8 are 3n. We have to find n so that 
3n900or 3n2100or n25or n7
So the least value of n is 7.

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