Question

a. In the general education course requirement at a college, a student needs to choose one each from social sciences, humanities, natural sciences, and foreign languages. There are 5 social science courses, 4 humanity courses, 4 natural science courses, and 3 foreign language courses available for general education. How many different ways can a student choose general education courses from these 4 areas?

Answer 1

Using the Fundamental Counting Theorem, there are 240 ways to choose general education courses from these 4 areas.

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:

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

Considering the number of options for each course, the parameters are given as follows:

$n_1 = 5, n_2 = 4, n_3 = 4, n_4 = 3$.

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 brainly.com/question/24314866

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