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Mathematics 16 Online
OpenStudy (surryyy):

How many license plates can be made which have the form ###LL? Answer 1,757,600 175,600 676,000 2,947,000

Directrix (directrix):

Are the characters on the plate always letters or can there be numbers and letters. 324LL, 3HTLL --> Are those acceptable and can digits be repeated? Could the tag read LLLLL ?

Directrix (directrix):

Check the problem instructions.

OpenStudy (surryyy):

yes

Directrix (directrix):

So, numbers and letters with repeats allowed?

Directrix (directrix):

There are 26 letters in this alphabet. There are 9 digits.

Directrix (directrix):

26 + 9 = 35 total of numbers and letters. Tags possible using Fundamental Principle of Counting: 35*35*35*1*1 where the two ones represent the number of ways to select the Ls.

Directrix (directrix):

That includes a tag with the digits 000LL

OpenStudy (anonymous):

isnt there a possibility of 10 digits

Directrix (directrix):

0, 1, 2, 3 ,4 5, 6, 7, 8, 9 Yes.

OpenStudy (surryyy):

this is all my instructions say So the general form is: three letters, followed by four numbers. Or we could describe these as: LLL#### where L stands for "some letter (from the alphabet)," and # stands for "some number (some digit 0, 1, 2, … , 8, 9)."

Directrix (directrix):

Okay, with no instructions, I read L as the actual letter L. So, hold on.

OpenStudy (anonymous):

# = 10 L = 26 10 * 10 * 10* 26 * 26 =

OpenStudy (surryyy):

676,000

OpenStudy (anonymous):

correct

OpenStudy (surryyy):

Thank u guys!

OpenStudy (surryyy):

i have one last question if one of u can help with..

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