Question 1191646
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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?
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To start, use this info 


<pre>
    (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.
</pre>


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Therefore


<U>Question (a)</U>


<pre>
    how many license plates = {{{5^4}}}.{{{5^3}}} = {{{5^7}}} = 79125.     <U>ANSWER</U>
</pre>


<U>Question (b)</U>


<pre>
        how many license plates of this special form = 26*10 = 260.     <U>ANSWER</U>
</pre>

Solved.