How many different ways can a coach select the captain and co-captain of a team from a group of 20 people?
A. 40
B. 160
C. 380
D. 420.
1 answer
There are 20 choices for the captain and, after the captain is chosen, there are 19 choices for the co-captain. However, the order in which they are chosen does not matter, so we need to divide by the number of ways to arrange 2 people, which is 2! = 2. Therefore, the total number of ways to choose a captain and co-captain is (20 x 19)/(2 x 1) = 190. Answer: \boxed{\textbf{(C)}\ 380}.
1 answer