Question

A state offers specialty license plates that contain 5 numbers followed by 2 letters. License plates are assigned randomly. All license plates are equally likely. Find the number of possible license plates that can be issued using this system.12,500 possible license plates1,188,137,600 possible license plates67,600,000 possible license plates39,917,124 possible license plates

Answer 1

67,600,000 possible license plates

Explanation:

The license plates contain 5 numbers followed by 2 letters.

• You can choose a number in 10 ways (that is any number from 0,1,2,3,4,5,6,7,8,9).

,

• There are 26 letters so, you can choose a letter in 26 ways.

Thus, the number of possible license plates that can be issued using this system is:

`\begin{gathered} 10*10*10*10*10*26*26 \\ =10^5*26^2 \\ =67,600,000 \end{gathered}`

There are 67,600,000 possible license plates.