Q28. - Algebra 2

Question

RESEARCH Use the Internet or other resource to find the configuration of letters and numbers on license plates in your state. Then find the number of possible plates.

Step-by-Step Solution

Answer

The number of possible plates is 175760000. 

Step-1 – Given

The number plate of New York. The configuration is: First 3 letters and then 4 numbers.

Step-2 – To determine

Then find the number of possible plates.

Step-3 – Calculation

There are 26 letters in English alphabet. So, each of the letters can be selected in 26 ways. 

There are 10 digits of numbers. So, each number can be selected in 10 ways.

 

Hence, the total number of ways is = ${26}^3\times {10}^4=175760000$.