SOLUTION: In Mathylvania, license plates have two letters followed by four numbers. However, the letters O and I are not used because they look too much like 0 and 1 (0 and 1 can be used).

Algebra ->  Permutations -> SOLUTION: In Mathylvania, license plates have two letters followed by four numbers. However, the letters O and I are not used because they look too much like 0 and 1 (0 and 1 can be used).      Log On


   



Question 428729: In Mathylvania, license plates have two letters followed by four numbers. However, the letters O and I are not used because they look too much like 0 and 1 (0 and 1 can be used). Answer the following:
a. How many license plates are possible if letters and numbers can be repeated?

b. How many license plates are possible if letters and numbers cannot be repeated?
MY WORK SO FAR:
letter possible: 24 (a b c d e f g h j k l m n p q r s t u v w x y z)
numbers possible: 10 (0 1 2 3 4 5 6 7 8 9)

Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
WITH REPEATS:
24*24*10*10*10=576,000 POSSIBILITIES.
WITOUT REPEATS:
24*23*10*9*8=414,720 POSSIBILITIES.