SOLUTION: You are choosing a computer password. The password has 3 letters followed by 3 digits. a. How many passwords are possible if the letters must be uppercase? b. How many passw

Question 270975: You are choosing a computer password. The password has 3 letters followed by 3 digits.
a. How many passwords are possible if the letters must be uppercase?
b. How many passwords are possible if no letter or digit can be repeated and the letters have to be lowercase?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
You are choosing a computer password. The password has 3 letters followed by 3 digits.
a. How many passwords are possible if the letters must be uppercase?
3 letters: 26^3 ways
3 digits: 10^3 ways
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# of passwords: 26^3*1000
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b. How many passwords are possible if no letter or digit can be repeated and the letters have to be lowercase?
3 letters: 26*25*24
3 digits: 10*9*8
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# of passwords: 26*25*24*10*9*8
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Cheers,
Stan H.

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