Number of Permutations with Repetition/Examples/7 Choices from 4

Example of Use of Number of Permutations with Repetition
Residents of a boarding house are offered a choice of $1$ of $4$ main foods for breakfast:
 * fish or eggs or bacon or sausages.

Over the course of a week, a resident can then order:
 * $1$ of $4$ dishes on Monday
 * $1$ of $4$ dishes on Tuesday
 * $\ldots$
 * $1$ of $4$ dishes on Sunday

The number of different breakfast arrangements over a week of $7$ days is:
 * $4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 = 16 \, 384$