Question

My soccer team has 16 players. I have to choose a starting lineup of a goalie and 10 regular players (the regular players are interchangeable). How many different starting lineups can I choose?

Answer 1

48048

Explanation:

Total number of players = 16

Selection to be made :

1 goalie ; 10 players

Hence ;

Choosing 1 goalie from 16 players :

16C1

Choosing 10 players from the remaining (16 - 1), 15 players

15C10

Hence,

16C1 * 15C10

16 * 3003

= 48048