Most people prefer to write numbers using digits since this is far shorter than writing out the relevant words.
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I guess the expected answer is 97210. Using factorials and exponents very much greater number can be obtained. For example, 97210 is a number with 6880 digits. And that is without using factorials.
The number 1,234,567,890,123 has thirteen digits.
This is a question of permutations; the answer is equal to the factorial of 5 (number of digits) divided by the factorial of 3 (number used in each selection), written 5! / 3!. This equals 120 / 6, or 20 ways.