Answer:
There are 35 combinations.
Step-by-step explanation:
A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
The formula for determining the number of possible arrangements by selecting only a few objects from a set with no repetition is expressed in the following way:
Where:
n – the total number of elements in a set.
r – the number of selected objects.
! – factorial.
So, we want to find how many different combinations of four council members (r = 4) can be selected from the seven (n = 7) who want to go to the conference.
Applying the above formula, we get that
There are 35 combinations.