Using the Fundamental Counting Theorem, it is found that the customer can put together 288 different outfits.
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]
Bryan sells 3 types of shirts, 6 types of skirts, 8 types of bracelets and 2 types of hats, hence the parameters are given as follows:
[tex]n_1 = 3, n_2 = 6, n_3 = 8, n_4 = 2[/tex]
Hence the number of different outfits is given as follows:
N = 3 x 6 x 8 x 2 = 288
More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866
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