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Using the Fundamental Counting Theorem, it is found that there are 90 ways to choose the three side dishes.
<h3>What is the Fundamental Counting Theorem?</h3>It is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem:
- For the vegetable, there are 5 options, hence
.
- For the starch, there are 3 options, hence
.
- The remaining dish is free, which means that there are 5 + 3 - 2 = 6 options, hence
.
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