find the number of possible outcomes for creating an outfit from 4 pairs of pants 3 shirts and 4 pairs of shoes

This is a counting problem, so we can use the counting principle. Since there are 4 pairs of pants, 3 shirts, and 4 pairs of shoes, we do 4 * 3 * 4, which equals 48.

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joaobezerra joaobezerra · Answer 2 · 2022-05-24T11:28:30+02:00

Using the Fundamental Counting Theorem, it is found that there are 48 possible outcomes for the outfit.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, 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, the options are as follows:

There are 4 possible pairs of paints, hence [tex]n_1 = 4[/tex].

There are 3 shirts, hence [tex]n_2 = 3[/tex].

There are 4 pairs of shoes, hence [tex]n_3 = 4[/tex].

Hence, the total number of options given by:

[tex]N = 4 \times 3 \times 4 = 48[/tex].

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866

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