How many codes can be written...?

How many four digit codes can be made using digits 0 through 9, if neither 0 nor 1 is used as first number and no digit is used more than once?
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2 Answers

this be a test
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Choice of the first digit is limited to between 2 and 9 (8 choices). For the second digit there are 9 choices because we've already taken one digit out and there are no repeats. For the third digit there are 8 choices left, and for the fourth, 7 choices. That's 8*9*8*7=4032. This number includes all permutations.

by Top Rated User (1.2m points)

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