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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

A
6
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B
7
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C
8
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D
9
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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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