## anonymous 5 years ago 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

1. anonymous

10C2 times 26C3

2. anonymous

ohhh so it would be A?

3. anonymous

I dunno. use a calculator to find out.

4. anonymous

lol i did :)

5. anonymous

6. anonymous

heh

7. anonymous

:)

8. anonymous

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

9. anonymous

hold on. is it with repetition?

10. anonymous

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

11. anonymous

Yes

12. anonymous

So then that WOULD be the answer correct?

13. anonymous

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

14. anonymous

... I think the numbers and letters can repeat

15. anonymous

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

16. anonymous

$10\times 10 \times 26\times 26 \times26$

17. anonymous

yeah I think it's A

18. anonymous

yeah it is A

19. anonymous

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

20. anonymous

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

21. gw2011

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

22. anonymous

Ahhh alrighty :) Thanks

23. gw2011

You're welcome