Question

If we have five decisions to make and four choices for each decision, how can we represent the number of potential outcomes?

Answer 1

Using the Fundamental Counting Theorem, the number of potential outcomes is given by: $4^5$

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with $n_1, n_2, \cdots, n_n$ ways to be done, each thing independent of the other, the number of ways they can be done is:

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

There are five decisions, each with four options, hence:

$n_1 = n_2 = n_3 = n_4 = n_5 = 4$

The number of options is:

$N = 4 \times 4 \times 4 \times 4 \times 4 = 4^5$.

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

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