# How many five-letter words are there?

#### Understand the Problem

The question is asking for the total number of possible five-letter words that can be formed, which involves calculating permutations or combinations of letters.

11,881,376

The total number of possible five-letter words is 11,881,376

#### Steps to Solve

1. Determine the total number of letters in the alphabet

The English alphabet has 26 letters.

1. Consider each position in the five-letter word

Each of the five positions in the word can be filled by any of the 26 letters.

1. Calculate the total number of permutations

Since the choice of letters is independent for each position, the total number of five-letter words is given by the product of the number of choices for each position:

$$26 \times 26 \times 26 \times 26 \times 26 = 26^5$$

1. Perform the exponentiation

Now compute the value of $26^5$:

$$26^5 = 26 \times 26 \times 26 \times 26 \times 26 = 11,881,376$$

The total number of possible five-letter words is 11,881,376