document.write( "Question 253686: in how many different ways the first 3 places can be filled in a race in which there are 11 horses \n" ); document.write( "

Algebra.Com's Answer #186030 by edjones(8007) $\"\"$ $\"About$

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We are interested in the ways the horses can be arranged (1st, 2nd or 3rd) so this is a permutation question.
\n" ); document.write( "nPr=n!/(n-r)!
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\n" ); document.write( "11P3=11!/(11-3)!=11!/8!=(11*10*9*8!)/8!=11*10*9=990 different ways.
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