Using the Fundamental Counting Theorem, there are 240 ways to choose general education courses from these 4 areas.
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]
Considering the number of options for each course, the parameters are given as follows:
[tex]n_1 = 5, n_2 = 4, n_3 = 4, n_4 = 3[/tex].
Hence the number of ways is given by:
N = 5 x 4 x 4 x 3 = 240.
More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866
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