Question

A recent graduate chooses 4 continents to visit from the 7 in the world. What is the size of the sample space in this experiment?

Answer 1

35

Step-by-step explanation:

The number of ways to select x elements from a group of n elements is calculated using combinations, so

`nCx=(n!)/(x!(n-x)!)`

In this case, we want to select 4 continents from 7. So, the number of ways to select them is

`7C4=(7!)/(4!(7-4)!)=(7!)/(4!\cdot3!)=(7*6*5*4!)/(4!*3*2*1)=35`

Therefore, the size of the sample space is 35 because it is equal to the number of ways to select 4 continents.