document.write( "Question 730309: Five evenly matched horses (Applefarm, Bandy, Cash, Deadbeat, and Egglegs) run in a race.
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\n" ); document.write( "b. Find the probability that Deadbeat finishes first and Bandy finishes second in the race.
\n" ); document.write( "c. Find the probability that the first-, second-, and third-place horses are Deadbeat, Egglegs, and Cash, in that order.\r
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Algebra.Com's Answer #853039 by ikleyn(53423)\"\" \"About 
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\n" ); document.write( "Five evenly matched horses (Applefarm, Bandy, Cash, Deadbeat, and Egglegs) run in a race.
\n" ); document.write( "(a) In how many ways can the first-, second-, and third-place horses be determined?
\n" ); document.write( "(b) Find the probability that Deadbeat finishes first and Bandy finishes second in the race.
\n" ); document.write( "(c) Find the probability that the first-, second-, and third-place horses are Deadbeat, Egglegs, and Cash, in that order.
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document.write( "(a)  In 5*4*3 = 60 different ways.  This is  5P3 permutations.\r\n" );
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document.write( "(b)  P = \"%281%2F5%29%2A%281%2F4%29\" = \"1%2F20\" = 0.05 = 5%.    \r\n" );
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document.write( "(c)  P = \"%281%2F5%29%2A%281%2F4%29%2A%281%2F3%29\" = \"1%2F60\".\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "The formulas are self-explanatory.\r
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