SOLUTION: a password consist of 2 letters and 2 digits (0 through 9) .the letters and digits cannot be repeated.how many passwords are possible? but te answer is 58500 why?

Algebra ->  Permutations -> SOLUTION: a password consist of 2 letters and 2 digits (0 through 9) .the letters and digits cannot be repeated.how many passwords are possible? but te answer is 58500 why?       Log On


   

Question 233430: a password consist of 2 letters and 2 digits (0 through 9) .the letters and digits cannot be repeated.how many passwords are possible?
but te answer is 58500 why?
















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Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The 1st letter is 1 of 26, then 1 of 25 (since there are no repeats).
The 1st number is 1 or 10, then 1 of 9.
26*25*10*9 = 58500