Answer:
1,556,675,366,400
Step-by-step explanation:
There are 37 possible characters, of which 8 can be chosen. Order matters, so the number is ...
37P8 = 1,556,675,366,400
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This number includes 84,144,614,400 strings in which the space character is either first or last. Such strings may be ruled invalid because they are indistinguishable from 7-character strings.
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nPk = n!/(n-k)! . . . . the number of permutations of n things taken k at a time
The 37 allowed characters are the 26 letters of the alphabet, 10 digits, and 1 space character.
