SOLUTION: how many different 5 digit identification tags can be made if the first digit must be a four and repetitions are not permitted? Since there are 10 digits, and the first number

Question 899425: how many different 5 digit identification tags can be made if the first digit must be a four and repetitions are not permitted?

Since there are 10 digits, and the first number has to be four (giving one possible choice), and there are no repetitions allowed, I tried 1*10*9*8*7 and got 5040. Is this correct?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
No, if repetitions are not allowed then you can no longer use a 4 so the total number of choices available for the second digit is now 9 and so on.
So,

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