All license plates have a letter two characters which are ei

All license plates have a letter, two characters (which are either a number or a letter) followed by 2 numbers. The choice for the first character can only be either E, W, R, A, F or U.

a) How many license plates can be minted?

b) What is the probability of having a license plate that starts with a consonant?

Solution

a)

There are 6 options for the first letter, and then 36 options for the 2nd and 3rd characters, and then 10 options for the 4th and 5th characters.

Hence, there are 6*36*36*10*10 = 777600 PLATES [ANSWER]

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b)

There are 3 consonants (W, R, F) out of 6 possible first characters.

Hence

P(start with consonant) = 3/6 = 0.5 [ANSWER]