document.write( "Question 1185837: The number of combinations of n items taken 2 together is 6 larger than the number of combinations of n - 1 items taken 2 together.\r
\n" ); document.write( "\n" ); document.write( "Determine n.\r
\n" ); document.write( "\n" ); document.write( "Not sure how to solve.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #816700 by ikleyn(52873) $\"\"$ $\"About$

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

\r\n" );
document.write( "\r\n" );
document.write( "The Math translation is this equation\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     =  + 6,\r\n" );
document.write( "\r\n" );
document.write( "or\r\n" );
document.write( "\r\n" );
document.write( "     =  + 6.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Multiply by 2 both sides and simplify\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    n*(n-1) = (n-1)*(n-2) + 12\r\n" );
document.write( "\r\n" );
document.write( "    n*(n-1) - (n-1)*(n-2) = 12\r\n" );
document.write( "\r\n" );
document.write( "    (n-1) * [n - (n-2)]   = 12\r\n" );
document.write( "\r\n" );
document.write( "    (n-1) * 2             = 12\r\n" );
document.write( "\r\n" );
document.write( "     n-1                  = 6\r\n" );
document.write( "\r\n" );
document.write( "      n                   = 7.    ANSWER\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved and explained.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );