statistics

posted by .

A certain professional soccer team runs a 4-4-2 formation on the field. This means they play with 4 defenders, 4 midfielders, 2 forwards, and 1 goalkeeper on the field. If the team has 6 defenders, 5 midfielders, 3 forwards, and 2 goalkeepers, how many different groups of 11 starting players could they have?
note that:Each player only plays in his designated position. The 2nd goalkeeper is not allowed to play as a defender.

  • statistics -

    just find out how many possibilities there are for each position, and multiply them all together:

    C(6,4) * C(5,4) * C(3,2) * C(2,1) = 450

    If your comment about the 2nd goalkeeper means that he may play as a midfielder or a forward, then things get more complicated.

  • statistics -

    ur answer is totally correct....thank u very much

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    In hockey, 6 players from each team are on the ice at a time: 1 goalie, 2 defence men, and 3 forwards. A school hockey team has a total of 17 players: 2 goalies, 6 defensive players, and 9 forwards. A) How many of these starting line …
  2. AIG 4th Grade Math

    Nellie's soccer team is having a great season. The team is being coached by Nellie's mom, who divided the team into five groups: 1/2 the players are forwards, 1/6 are wings, 1/6 are halfbacks, 1/12 are fullbacks, and 2 others are goalies. …
  3. propability!!!

    A certain professional soccer team runs a 4-4-2 formation on the field. This means they play with 4 defenders, 4 midfielders, 2 forwards, and 1 goalkeeper on the field. If the team has 6 defenders, 5 midfielders, 3 forwards, and 2 …
  4. Math

    Tension wants to build a soccer field for his team. The area of the field should be 125 square feet. The width is 1/5 of the length. What are the dimensions of the field?
  5. Physical Education

    1. You have now learned that a good goalkeeper must quickness, agility, and good eyesight. What other athlete requires the same skill set for success?
  6. Physical Education

    1. You have now learned that a good goalkeeper must quickness, agility, and good eyesight. What other athlete requires the same skill set for success?
  7. Physical Education

    1. You have now learned that a good goalkeeper must quickness, agility, and good eyesight. What other athlete requires the same skill set for success?
  8. English

    1. The team usually plays in a 4-4-2 formation. (at a soccer game) 2. two center forwards (= two strikers) 3. side midfielder (=left midfielder) two central midfielders side midfielder (=right midfielder) 4. fullback ( =left back = …
  9. American Government

    1. How does supporting the human with defenders align with the philosophies of america's founding fathers?
  10. Math

    A hockey team is lining up in a row for a group photo there team has one goalie four defence and seven forwards the photographer wants the defence on one side of the goalie and the forwards on the other side how many ways can the team …

More Similar Questions