Question

In an international food festival, Carlos can try foods from Brazil, Italy, and Peru. He can choose to try foods from some or none, but not all, of these countries. In the braces below, list all the possible sets of countries whose food Corlos can try Write each set in your list in roster form. If there is more than one set in your list, separate them with commas. If you need the empty set in your list, use the symbol 0 Brazil Itlay P

Answer 1

Carlos has the following options available:

1. Carlos can try foods from none of the countries. In this case, it will be an empty set $\phi$

2. Carlos can choose to try from one of the three countries. In this case, possible combinations are {Brazil}, {Italy}, {Peru}

3. Carlos can choose to try from two of the three countries. In this case, possible combinations are {Brazil, Italy}, {Italy, Peru}, {Peru, Brazil}

Therefore,

The possible sets of countries whose food Carlos can try is given by

{$\phi$, {Brazil}, {Italy}, {Peru}, {Brazil, Italy}, {Italy, Peru}, {Peru, Brazil}}