Take the task of building teams and break it into stages.
Stage 1: Select 2 managers.
Since the order of the selected managers does not matter, we can use combinations.
We can select 2 managers from 4 managers in 4C2 ways (
6 ways).
Aside: If anyone is interested, we have a free video on calculating combinations (like 4C2) in your head:
https://www.gmatprepnow.com/module/gmat-counting?id=789
Stage 2: Select 3 employees.
Since the order of the selected employees does not matter, we can use combinations.
We can select 3 employees from 5 employees in 5C3 ways (
10 ways).
By the Fundamental Counting Principle (FCP) we can complete the 2 stages (and thus create a team) in
(6)(10) ways ([spoiler]= 60 ways[/spoiler])
Answer =
C
Cheers,
Brent
Aside: For more information about the FCP, we have a free video on the subject:
https://www.gmatprepnow.com/module/gmat-counting?id=775
