SOLUTION: 6. An Ontario license plate has 4 letters followed by 3 numbers. Assuming repetition is allowed, how many license plates a) contain only vowels and even numbers? [1] b) contain t

Algebra.Com
Question 1191646: 6. An Ontario license plate has 4 letters followed by 3 numbers. Assuming repetition is allowed, how many license plates
a) contain only vowels and even numbers? [1]
b) contain the same 4 letters and the same 3 digits?
Answer by ikleyn(52777)   (Show Source): You can put this solution on YOUR website!
.
6. An Ontario license plate has 4 letters followed by 3 numbers. Assuming repetition is allowed, how many license plates
a) contain only vowels and even numbers? [1]
b) contain the same 4 letters and the same 3 digits?
~~~~~~~~~~~~~~


To start, use this info 

    (1)  The English alphabet is made up of 26 letters, 5 of which are vowels (a, e, i, o, u) and the rest of which are consonants. 
    (2)  There are 5 even digits.


                        Therefore

Question (a) 

    how many license plates = . =  = 79125.     ANSWER


Question (b) 

        how many license plates of this special form = 26*10 = 260.     ANSWER

Solved.



RELATED QUESTIONS

A license plate has 4 letters, followed by 2 numbers. If repetition is not allowed, how... (answered by Theo,ikleyn)
A state has a rule that all license plates must contain 3 digits, followed by 3 letters... (answered by knighty2002uk)
A license plate number consists of 1,2 or 3 capital letters followed by 4 digits (ranging (answered by stanbon)
if an automobile license plate contains 3 numbers followed by 3 letters, how many... (answered by rfer)
A license plate consists of two letters followed by four digits. How many licence plates... (answered by Edwin McCravy)
License plates are made using 2 letters followed by 3 digits. How many plates can be made (answered by Boreal)
License plates are made using 3 letters followed by 2 digits. How many plates can be... (answered by Theo)
License plates in a particular state display 2 letters followed by 4 numbers. How many... (answered by Fombitz)
How many unique license plates exist if each license plate must consist of 3 letters... (answered by Alan3354)