Question 381228: 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 third place winner at random from these seven students, what's the probability that Alicia will win first prize, Pat will win second prize, and David will win third prize?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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 third place winner at random from these seven students, what's the probability that Alicia will win first prize, Pat will win second prize, and David will win third prize?
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# of ways to succeed: 1
# of possible outcomes: 7C3 = 7!/(4!*3!) = (7*6*5)/(1*2*3) = 35
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P(order as discribed) = 1/35
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Cheers,
Stan H.
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