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The numbers range from 101 to 999 are 3 digit numbers.  There is no restriction. Any digit can appear any number of times.

So ways of selecting 3 digits out of 7 digits :  7*7*7 = 343

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Allowed digits are, 1, 2, 3, 4, 5, 6, 7
[Total Digit Count (n) = 7]

Now we have to form three digit numbers using given 7 digits.


Now Hundred's place can be filled by any of 7 digits as well as, Ten's and Unit's place, so we have total 7*7*7 = 343 numbers.

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