document.write( "Question 412153: a four person committee is to be elected from an organization's membership of 11 people. how many different committees are possible\r
\n" ); document.write( "\n" ); document.write( " I know it is 11c4, but what is the value of this?\r
\n" ); document.write( "\n" ); document.write( "Thanks \n" ); document.write( "
Algebra.Com's Answer #289554 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Remember that n C r = (n!)/(r!(n-r)!)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In this case, n=11 and r=4\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So we get\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "11 C 4 = (11!)/(4!(11-4)!) = (11!)/(4!7!) = (11*10*9*8*7!)/(4!7!) = (11*10*9*8)/(4*3*2*1) = 7920/24 = 330\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So 11 C 4 = 330, which means that there are 330 different committee.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Jim \n" ); document.write( "
\n" );