Question

Every car has a license plate number,
which begins with a letter S, followed by two other letters, 4 digits, and another letter (all upper case)

How many possible license plate numbers are there?

Is the answer the following?
26^2 * 10^4 * 26 = 175760000

There is a part 2!
It turns out that all plate numbers beginning with SH are for taxis only. How many possible license plate numbers for private car owners?

My answer:
Taxis: 26 *10^4 *26 = 6760000

So Private Car Owners:
175760000 - 6760000 = 169000000

Answer 1

yes :)

Answer 2

thank you.

Answer 3

oh wait no it's not

Answer 4

it say followed by OTHER two letters,

Answer 5

so since S is already chosen, you have 25 lefts

Answer 6

Couldn't S be used for the other areas too?

Answer 7

well, this is more like a language issue. If S is allowed to be picked again, you had the correct answer. If not, then just 25^2 * 10^4 * 25.

Answer 8

Ah I see.

Answer 9

wouldn't you agree that when you say "other" you meant "different"? So i'm kind of leaning to the other answer instead

Answer 10

Hmm not sure. You seem very interested in counting!

Answer 11

lol, it's kinda handy when it comes to gambling XD. Not saying that i'm a gambler but who knows I might need it some day. After all, casino makes money purely on the probability and they have already figured it out how to take advantage of it XD. People, as a whole, are always losing.

Answer 12

I added a part 2

Answer 13

Should be correct I guess @sourwing

Answer 14

yes, it's correct. Again, assuming S is allowed to be chosen again.

Another way, to do this problem is
25 * 26 * 10^4 * 26 = 169,000,000

As long as the third digit is not H, which you have only 25 to choose from

Answer 15

i mean third *letter*

Answer 16

thanks