Answer:
35
Explanation:
The number of ways to select x elements from a group of n elements is calculated using combinations, so
[tex]nCx=\frac{n!}{x!(n-x)!}[/tex]In this case, we want to select 4 continents from 7. So, the number of ways to select them is
[tex]7C4=\frac{7!}{4!(7-4)!}=\frac{7!}{4!\cdot3!}=\frac{7\times6\times5\times4!}{4!\times3\times2\times1}=35[/tex]Therefore, the size of the sample space is 35 because it is equal to the number of ways to select 4 continents.
