Question

There are 20 players on a soccer team. From them, a captain and an alternate captain have to be chosen. How many possibilities are there?

Answer 1

Answer: The number of possibilities = 380

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) :

`^nP_r=(n!)/((n-r)!)`

Number of ways to choose 2 players ( for captain and alternate captain ) from 20 players :

`^(20)P_2=(20!)/(18!)=20*19=380`

Hence, the number of possibilities = 380