Answer :
Using the Fundamental Counting Theorem, it is found that you have 55 different choices with this brand.
Fundamental counting theorem:
States that if there are n things, each with [tex]n_1, n_2, …, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
- There are 11 colors available, hence [tex]n_1 = 11[/tex].
- There are 5 writing tips available, hence [tex]n_2 = 5[/tex].
Then:
[tex]N = n_1 \times n_2 = 11 \times 5 = 55[/tex]
You have 55 different choices with this brand.
To learn more about the Fundamental Counting Theorem, you can check https://brainly.com/question/24314866