Question

How many license plates can be made which have the form ##LLL (2 numbers followed by 3 letters with repetition allowed) ?

A. 1,757,600
B. 175,600
C. 3,840,500
D. 2,947,000

Answer 1

10C2 times 26C3

Answer 2

ohhh so it would be A?

Answer 3

I dunno. use a calculator to find out.

Answer 4

lol i did :)

Answer 5

Thanks :) helpful very helpful!

Answer 6

heh

Answer 7

:)

Answer 8

I'm not sure that's right because 10C2 doesn't allow for repetition.

Answer 9

hold on. is it with repetition?

Answer 10

(2 numbers followed by 3 letters with repetition allowed) ?

Answer 11

Yes

Answer 12

So then that WOULD be the answer correct?

Answer 13

right, my bad. so it 2 numbers followed by letters with repetition. that means the letters can repeat, but not the numbers.

Answer 14

... I think the numbers and letters can repeat

Answer 15

I.E. you can have 00 or 99, etc. and you can have LLL or AAA, etc.

Answer 16

\[10\times 10 \times 26\times 26 \times26\]

Answer 17

yeah I think it's A

Answer 18

yeah it is A

Answer 19

that is, if repetition is allowed for both numbers and letters, and it does look like it is allowed for both numbers and letters.

Answer 20

thought so :) Yes im pretty sure it is :)

Answer 21

The correct answer is A.

Since repetition is allowed, then you have 10 numbers and 26 letters to choose in order to place in the positions indicated. Therefore, the solution is as follows:

(10^2)(26^3) = 1,757,600

Answer 22

Ahhh alrighty :) Thanks

Answer 23

You're welcome