Using the Fundamental Counting Theorem, the number of potential outcomes is given by: [tex]4^5[/tex]
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]
There are five decisions, each with four options, hence:
[tex]n_1 = n_2 = n_3 = n_4 = n_5 = 4[/tex]
The number of options is:
[tex]N = 4 \times 4 \times 4 \times 4 \times 4 = 4^5[/tex].
More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866
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