Question

A popular brand of pen is available in 11 colors and 5 writing tips. How many different choices do you have with this brand?

Answer 1

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 $n_1, n_2, …, n_n$ ways to be done, each thing independent of the other, the number of ways they can be done is:

$N = n_1 \times n_2 \times \cdots \times n_n$

In this problem:

• There are 11 colors available, hence $n_1 = 11$.

• There are 5 writing tips available, hence $n_2 = 5$.

Then:

$N = n_1 \times n_2 = 11 \times 5 = 55$

You have 55 different choices with this brand.

To learn more about the Fundamental Counting Theorem, you can check https://brainly.com/question/24314866