SOLUTION: it is almost time for the world cup! a soccer team (11 players) is selected from a group of 180 students by choosing at random. what is the probability that you and your four best

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Question 319104: it is almost time for the world cup! a soccer team (11 players) is selected from a group of 180 students by choosing at random. what is the probability that you and your four best friends in the group are part of the selected soccer team?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Hopefully we're on the Brazilian or German team and not the English or Italian team!
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Each person has the same probability.
Each time a person is chosen the total possible choices reduces by 1.
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P(me)=1/180
P(1st friend)=1/179
P(2nd friend)=1/178
P(3rd friend)=1/177
P(4th friend)=1/176
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To find the total, multiply all of the probabilities.
P=5.6x10%5E%28-12%29
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We could have also look at all of the permutation without repetition for 5 items chosen from a pool of 180.
The number of permutations is,
N=%28180%21%29%2F%28180-5%29%21=180%2A179%2A178%2A177%2A176
Our specific permutation was one of those so the probability was
P=1%2F%28180%2A179%2A178%2A177%2A176%29
which is the same result.
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Usually it's not that random of a process, but watching some of the World Cup play it seems like some teams might be using that method.