Argentina had football team of 22 player of which captain is from Braz...
Given information:
- Argentina has a football team of 22 players.
- The captain is from the Brazilian team.
- The goalkeeper is from the European team.
- 6 players are from Argentina.
- 14 players are from Europe.
- A team of 11 players must have a goalkeeper and a captain.
- Out of the remaining 9 players, 3 must be from Argentina and 6 from Europe.
Number of ways to select the captain and goalkeeper:
- Since the captain is from the Brazilian team, there is only 1 option for the captain.
- Similarly, there is only 1 option for the goalkeeper from the European team.
Number of ways to select the remaining 9 players:
- We need to select 3 players from the 6 Argentinean players and 6 players from the 14 European players.
- The number of ways to select 3 players from the 6 Argentinean players is given by the combination formula: C(6, 3) = 6! / (3! * (6-3)!) = 20.
- The number of ways to select 6 players from the 14 European players is given by the combination formula: C(14, 6) = 14! / (6! * (14-6)!) = 3003.
Total number of methods available:
- The total number of methods available is the product of the number of ways to select the captain, goalkeeper, and the remaining 9 players.
- Total methods = 1 * 1 * 20 * 3003 = 60,060.
The correct answer is '60,060', not '160,600' as stated.