Question 730309
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Five evenly matched horses (Applefarm, Bandy, Cash, Deadbeat, and Egglegs) run in a race.
(a) In how many ways can the first-, second-, and third-place horses be determined?
(b) Find the probability that Deadbeat finishes first and Bandy finishes second in the race.
(c) Find the probability that the first-, second-, and third-place horses are Deadbeat, Egglegs, and Cash, in that order.
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(a)  In 5*4*3 = 60 different ways.  This is  5P3 permutations.


(b)  P = {{{(1/5)*(1/4)}}} = {{{1/20}}} = 0.05 = 5%.    


(c)  P = {{{(1/5)*(1/4)*(1/3)}}} = {{{1/60}}}.
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Solved.


The formulas are self-explanatory.