How many different ways can a coach select the captain and cocaptain of a team from a group of 20 people?
A. 40
B. 160
C. 380
D. 420
There are 20 choices for the captain, and after the captain is chosen, there are 19 choices for the co-captain. However, since the order in which they are chosen does not matter, we need to divide by 2 (the number of ways to arrange 2 people). Therefore, the answer is:
$\dfrac{20\times 19}{2}=\boxed{190}.$
The answer is not listed.