document.write( "Question 40315: The number of ways of choosing 4 people from 12 people is the same as choosing 8 people from 12 people. Why are they done in the same number of ways? \n" ); document.write( "

Algebra.Com's Answer #25726 by Nate(3500) $\"\"$ $\"About$

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Look at the equations using the formula:
\n" ); document.write( "C(n,r) = n!/((n - r)!r!)
\n" ); document.write( "........................................................................................................
\n" ); document.write( "C(12,4) = 12!/((8!)4!)
\n" ); document.write( "and
\n" ); document.write( "C(12,8) = 12!/((4!)8!)
\n" ); document.write( "They are the same. \n" ); document.write( "

\n" );