Question

in an International Food Festival Latoya can try Foods from Ethiopia, Korea, Brazil. She can choose to try foods from some, none, or all of these countries. list all the possible sets of countries whose food Latoya 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.

Answer 1

Since she can choose to try foods from some countries, we can make the following sets:

$\begin{gathered} A=\lbrace ETHIOPIA,\text{ KOREA}\} \\ B=\mleft\lbrace\text{ETHIOPIA, BRAZIL}\mright\rbrace \\ C=\mleft\lbrace KOREA,\text{ BRAZIL}\mright\rbrace \end{gathered}$

we also can make:

$\begin{gathered} \\ D=\mleft\lbrace\text{ETHIOPIA, KOREA, BRAZIL}\mright\rbrace \\ E=\mleft\lbrace \mright\rbrace \end{gathered}$

where the last one denotes the empty set (none of the countries) and Set D denotes all the possible countries.