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# Five thousand runners will participate in the Mountain Marathon. Each runner will randomly be given a different number from 1 to 51000 to wear during the race. What is the probability that the number

Posted on 2010-11-08

Five thousand runners will participate in the Mountain Marathon. Each runner will randomly be given a different number from 1 to 51000 to wear during the race. What is the probability that the number of a second-place finisher will be both greater than the the number of the third-place finisher and less than the number of the first-place finisher? (Assume noties) Express your answer as a fraction.