document.write( "Question 1105959: If np6=3np5 find value of n \n" ); document.write( "

Algebra.Com's Answer #720888 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "There is nothing easier.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "nP6 = n*(n-1)*(n-2)*(n-3)*(n-4)*(n-5)   (6 factors).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "nP5 = n*(n-1)*(n-2)*(n-3)*(n-4)         (5 factors)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The condition gives you this equation\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     n*(n-1)*(n-2)*(n-3)*(n-4)*(n-5) = 3 * n*(n-1)*(n-2)*(n-3)*(n-4).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Cancel   n*(n-1)*(n-2)*(n-3)*(n-4)   in both sides.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "You will get\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     n-5 = 3.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  n = 8.\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );