An n digit 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
(a) 6
(b) 7
(c) 8
(d) 9
The correct option is (b) 7
Explanation:
Distinct n digit numbers which can be formed using digits 2,5 and 7 are 3n. We have to find n so that