Question 381212: In an essay contest, a teacher finds that seven students have written excellent essays. Three of these students are Alicia, Pat, and David. If the teacher chooses the first place winner, second place winner, and thrid place winner at random from these seven students, what is the probability that Alicia will win first prize, Pat will win second prize, and David will win thrid prize?
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! There are 7P3 = 7!/(7-3)! = 7!/4! = (7*6*5*4!)/4! = 7*6*5 = 210 different ways to assign 3 prizes to seven students and there is only one way that Alicia will win first prize, Pat will win second prize, and David will win thrid prize.
So this means that the probability is  which is approximately 0.00476 (ie about a 4.76% chance)
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