Number of natural numbers up to one lakh which contains 1,2,3 exactly once and remaining digits any time is

Dear Student

The digits to be used are 1,2 and 3. 
The required numbers are from 1 to 100000.

The numbers are six digit numbers. 
Therefore, every place can be filled by 1,2 and 3 in 3 ways.
Total number of ways=3x3x3x3x3x3=36
But 000000 is also a number which should be excluded
Total number of numbers= 36-1=729-1=728

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