# Suppose in a certain state, all automobile license plates have four letters followed by three...

## Question:

Suppose in a certain state, all automobile license plates have four letters followed by three digits.

a) How many different license plates are possible?

b) How many license plates begin with TGIF?

c) How many license plates begin with AB and have all letters and digits distincts?

## Permutation:

Permutation is basically the ordering of the given elements. It's different than combination since the same set can have different permutations because the ordering can differ from one permutation to another.

## Answer and Explanation:

a) First we need to select letters. We have 26 letters in the English alphabet; so we have 26 different choice. There will be {eq}26^4 {/eq}...

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#### Learn more about this topic:

How to Calculate a Permutation

from Math 102: College Mathematics

Chapter 13 / Lesson 12
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