There are 10,000 four number combinations in the numbers 0 through 9.
* * * * *
No, that is simply not true. The combination 1234 is the same as the combination 2134 and 2314 and 1423 etc.
So, there are just 8*7*6*5/(4*3*2*1) = 70 combinations.
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There are a huge number of combinations of 5 numbers when using the numbers 0 through 10. There are 10 to the 5th power combinations of these numbers.
If the numbers can be repeated and the numbers are 0-9 then there are 1000 different combinations.
9000
If every number can be used as many times as you like, there are 104 = 10000 different combinations. If each number can only be used once, there are 9!/(9 - 4)! = 5040 combinations.
There are 10 choices for the first number, 9 for the second and 8 for the third. 10*9*8=720 possible combinations.