Question

A Restaurant offers a choice of 4 salads, 8 main courses, and 4 desserts. How many possible 3-course meals are there ?

Answer 1

The answer is 128. Multiply everything together. So 4*8*4=128

Answer 2

Using the Fundamental Counting Theorem, it is found that there are 128 possible 3-course meals.

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:

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

In this problem, considering the number of salads, main courses and desserts, we have that:

$n_1 = 4, n_2 = 8, n_3 = 4$

Hence the total number of options is given by:

$N = 4 \times 8 \times 4 = 128$.

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

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