document.write( "Question 1191738: At a horse race with a field of 10 horses. How many ways are there to select the first 3 finishers in the correct order? \n" ); document.write( "

Algebra.Com's Answer #823573 by ikleyn(52778) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "Any of 10 horses can be first, giving 10 possible options.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Any of remaining 9 horses can be second, giving 9 other possible options.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Any of remaining 8 horses can be third, giving 8 other possible options.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Thus the total number of different possible options is 10*9*8 = 720.    ANSWER\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "--------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It is a standard method and a standard mantra for solving such problems.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );