SOLUTION: Could you please solve the following question? Question: License plates of automobiles registered in a certain community show 5 symbols, namely 2 letters followed by 3 digits.

Algebra ->  Probability-and-statistics -> SOLUTION: Could you please solve the following question? Question: License plates of automobiles registered in a certain community show 5 symbols, namely 2 letters followed by 3 digits.       Log On


   



Question 795191: Could you please solve the following question?
Question:
License plates of automobiles registered in a certain community show 5 symbols,
namely 2 letters followed by 3 digits.
(a) How many diff erent plates could be made?
(b) How many diff erent plates could be made if the order of letters and digits would not be fi xed?
(c) How many automobile registrations my the police have to check in a hit-and-run accident if a witness reports KP5 and cannot remember the last two digits on the license plate but is certain that all three digits were diff erent?
Thanks in advance.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Question:
License plates of automobiles registered in a certain community show 5 symbols,
namely 2 letters followed by 3 digits.
LLDDD
-----------------------
(a) How many diff erent plates could be made?
26^2*10^3 = 626000
-------------------
(b) How many different plates could be made if the order of letters and digits would not be fixed?
same as above
-------------------
(c) How many automobile registrations my the police have to check in a hit-and-run accident if a witness reports KP5 and cannot remember the last two digits on the license plate but is certain that all three digits were diff erent?
1*1*1*10*9 = 90
=======================
Cheers,
Stan H.
=======================