A license plate is to consist of 5 digits followed by 5 uppercase letters. Determine the number of different license plates possible if the first and second digits must be odd, and repetition is not permitted.

Total number of possible different license plates =[tex]5\times 4\times 8\times 7\times 6\times 26\times 25\times 24\times 23\times 22[/tex]=[tex]5.3044992\times 10^{10}[/tex]

andromache andromache · Answer 2 · 2022-04-05T14:07:05+02:00

The number of different license plates possible if the first and second digits must be odd, and repetition is not permitted is [tex]5.304492 \times 10^{10}[/tex]

Calculation of the no of different license:

Since

Digits used=0,1,2,..9

And, Total number of letters=26

Also, Repetition is not allowed

So,

Total number of odd digits=(1,3,5,7,9)=5

Now

The first place filled by 5

Second place filled by 4

Third place filled by 8

Fourth place filled by 7

Fifth place filled by 6

Sixth place filled by 26

Seventh place filled by 25

Eighth place filled by 24

Ninth place filled by 23

Tenth place filled by 22

Now finally

= 5(4)(8)(7)(6)(26)(25)(24)(23)(22)

= [tex]5.304492 \times 10^{10}[/tex]

hence, The number of different license plates possible if the first and second digits must be odd, and repetition is not permitted is [tex]5.304492 \times 10^{10}[/tex]

Learn more about number here: https://brainly.com/question/2331661

A license plate is to consist of 5 digits followed by 5 uppercase letters. Determine the number of different license plates possible if the first and second digits must be​ odd, and repetition is not permitted.

Respuesta :

Calculation of the no of different license:

Otras preguntas

A license plate is to consist of 5 digits followed by 5 uppercase letters. Determine the number of different license plates possible if the first and second digits must be odd, and repetition is not permitted.