Question

Please help with algebra

Answer 1

Using the Fundamental Counting Theorem, it is found that there are 90 ways to choose the three side dishes.

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:

• For the vegetable, there are 5 options, hence $n_1 = 5$.

• For the starch, there are 3 options, hence $n_2 = 3$.

• The remaining dish is free, which means that there are 5 + 3 - 2 = 6 options, hence $n_3 = 6$.

Then:

N = 5 x 3 x 6 = 90.

There are 90 ways to choose the three side dishes.

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