A college's football team will play 16 games next fall. Each game can result in one of 2 outcomes: a win or a loss. Find the total possible number of
outcomes for the season record.

Respuesta :

Using the Fundamental Counting Theorem, there are 65,536 outcomes possible for the season record.

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]

For this problem, the parameters are given as follows:

[tex]n_1 = n_2 = \cdots = n_{16} = 2[/tex]

Then the number of ways is:

[tex]N = 2^{16} = 65,536[/tex].

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

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