There are 4 digits in 1024
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One way to view the exponent, especially when it is a natural number, is how many times something need to be multiplied by itself. So 4^5 has exponent 5 and base 4 and it means 4 multiplied by itself 5 times, ie 4x4x4x4x4 We can then extent this to negative integers and to an exponent of zero and then to rational exponents. More on that if you want to know.
To form a four-digit number without repeating any digits from 56789, we need to choose 4 different digits out of the 5 available. This can be done in 5 choose 4 ways, which is equal to 5! / (4! * (5-4)!) = 5 ways. Therefore, there are 5 four-digit numbers that can be formed out of 56789 without repeating any digits.
Possible 5 digit combinations using 5 digits only 1 time is 5! or 5*4*3*2*1 or 120. Using 5 digits where numbers can be used 5 times is 55 or 3125.
10,000
The number of different 4-digit strings is 6*5*4*3 = 360