document.write( "Question 782261: In math class, there are 24 students. The teacher picks 4 students to help do a demonstration. How many different groups of 4 could she have chosen?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #476347 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
Assuming order doesn't matter, then...\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "n C r = (n!)/(r!(n-r)!)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "24 C 4 = (24!)/(4!*(24-4)!)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "24 C 4 = (24!)/(4!*20!)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "24 C 4 = (24*23*22*21*20!)/(4!*20!)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "24 C 4 = (24*23*22*21)/(4!)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "24 C 4 = (24*23*22*21)/(4*3*2*1)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "24 C 4 = (255024)/(24)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "24 C 4 = 10626\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Assuming order doesn't matter, then there are 10626 different groups. \n" ); document.write( "

\n" );