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

Sagot :

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

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