Question

1. Standard issue passenger license plates in Ohio consist of three letters followed by four numbers. How many standard issue license plates can be produced if there are no restrictions on the letters and numbers?
   1. 78,624,000
   2. 115,316,136
   3. 156,000,000
   4. 175,760,000

Answer 1

There are 26 letters (a-z) among which we have to choose 3 so this can be done by the following ways :

1st letter can be chosen in 26 ways , 2nd in also 26 ways and same for the third (consider repetition allow).So, overall we can choose 3 letters in 26³.

There are 10 numbers (0-9) among those numbers we need to choose 4 numbers and this can be done in 10×10x10x10 = 10⁴ ways.

Overall , There are 10⁴ ​​​​​x 26³ = 175,760,000 ways a standard issue license plates can be produced.

Option d is right choice.