SOLUTION: How many three-digit number are there with no dight reapeated?

Question 1045303: How many three-digit number are there with no dight reapeated?

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
ONE WAY TO LOOK AT IT:
Taking different digits, out of the available,
we can make different three-digit strings,
but the one starting with zero, such as or , cannot be considered three-digit numbers.
Among the three-digit strings, there are a few that start with zero.
How many? As many as the number of two-digit strings we can make using the non-zero digits,
.
That leaves us with

ANOTHER WAY TO LOOK AT IT:
When trying to write a three-digit number are there with no digit repeated,
you have choices for the hundreds digit, because you would not start with .
After you choose your hundreds digit, there are other, different digits left to choose your tens digit from.
After you have chosen the first digits,
there are other, different digits left to choose your units digit from.
All in all, you have different three-digit number are there with no digit repeated.
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