Answer: The number of possibilities = 380
Step-by-step explanation:
Given, There are 20 players on a soccer team. From them, a captain and an alternate captain have to be chosen.
Since, captain and alternate captain comes in order.
Number of ways to choose r things out of n things (when order matters) :
[tex]^nP_r=\dfrac{n!}{(n-r)!}[/tex]
Number of ways to choose 2 players ( for captain and alternate captain ) from 20 players :
[tex]^{20}P_2=\dfrac{20!}{18!}=20\times19=380[/tex]
Hence, the number of possibilities = 380
