1,956 different numbers can be made from 6 digits. You can calculate this by using the permutation function in a summation function, like this:
Σ6k=1 6Pk = 6P1+6P2+...+6P5+6P6
What this does is calculate how many 1 digit numbers you can make from 6 digits, then how many 2 digit numbers can be made from 6 digits and adds the amounts together, then calculates how many 3 digit numbers can be made and adds that on as well etc.
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Including leading zeroes, the answer is 720. If you don't include leading zeroes, then 600.
6
5040
24680
Assuming whole numbers and a leading zero does not count: 10,234,567