1) In Texas car license plates are made up of one digit, three letters and then

Question

1) In Texas car license plates are made up of one digit, three letters and then 3 digits. for example 4 HJK 851. it's not true, but assune that all numbers and letters could be used.

A) a witness to a ctime saw the licence plate of the getaway car. He said it started out with 2 WUA. how many cars
in Texas can have this? what percentage of all license plates in Texas start with 2 WUA?

2) A couple has 10 movies in their Netflix queue. They decide to randomly choose 2 movies from the queue. how many possible 2 movie selections are there?

Explanation / Answer

There are 10 digits and 26 letters.

A)

First 4 characters are fix 2WUA. Now possible arrangements of last three digits is 10*10*10=1000

So number of car started with 2WUA is 1000.

-------------

Possible number of number plates is 10 *26*26*26*10*10*10 =175760000

So percentage of all license plates in Texas start with 2 WUA is

1000 / 175760000 =0.00057%

2)

Since order of movies does not matter so number of possible 2 movie selections are

C(10, 2) = 45

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