## JorgeG Group Title A license plate is identified by a string of two letters followed by five numbers. If each license plate is distinct, find the number of possible license plates. Answer 39,917,124 9,828,000 67,600,000 19,656,000 one year ago one year ago

1. JorgeG Group Title

@Kira_Yamato

2. Kira_Yamato Group Title

Is repetition of digits and alphabets allowed?

3. JorgeG Group Title

only repettiton of digits only 8 digits to be sure..

4. Kira_Yamato Group Title

Circles = space for letters Square = space for digits Numbers = no. of ways|dw:1352605436090:dw|

5. JorgeG Group Title

squares

6. JorgeG Group Title

@rahul91 can you help?

7. JorgeG Group Title

is it 39,917,124?

8. JorgeG Group Title

@Study23 I need help with my question...

9. rahul91 Group Title

you have 7 positions . first two for alphabets right ,since each plates are different you have to solve this problem as for a non repetitive case .. are you OK this far

10. Study23 Group Title

$$\ \large \text{ This is a problem involving permuations...}$$ $$\ \large \text{So the first two places of the plate are letters.There are 26 letters.}$$ $$\ \large \text{So the first place could have} \frac{1}{26} \text{letters}$$.

11. Study23 Group Title

So there are a possible 26 letters for the first digit, right?

12. Study23 Group Title

Are you allowed to repeat the same number/letter?

13. JorgeG Group Title

Yes 26 letters for the first digit and yes allowed to repeat same number

14. JorgeG Group Title