document.write( "Question 300277: find the number of ways in which 6 teachers can be assigned to 4 section introductory psychology course if no teacher is assigned to more than one section?
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #215491 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "Order matters here.  To show that order matters here,\r\n" );
document.write( "\r\n" );
document.write( "Let the teachers be A,B,C,D,E,F\r\n" );
document.write( "Let the sections be 1,2,3,4.\r\n" );
document.write( "\r\n" );
document.write( "Now take an arbitrary sample case, for instance:\r\n" );
document.write( "\r\n" );
document.write( "B with secton 1, E with section 2, A with section 3, and C with section 4.\r\n" );
document.write( "\r\n" );
document.write( "This is a different situation from when those same four teachers are \r\n" );
document.write( "positioned in a different order, say,\r\n" );
document.write( "\r\n" );
document.write( "A with secton 1, C with section 2, E with section 3, and B with section 4.\r\n" );
document.write( "\r\n" );
document.write( "So the number is  \r\n" );
document.write( "\r\n" );
document.write( "\"6 Position 4\" = \r\n" );
document.write( "\r\n" );
document.write( "[Don't confuse that with \"6 Choose 4\" or \"6C4\" when order does not matter,\r\n" );
document.write( "as if we were choosing a committee of 4 from the 6 teachers. Always take\r\n" );
document.write( "a specific sample case, think of rearranging it and decide whether the\r\n" );
document.write( "rearrangement is considered a different situation or the same situation.\r\n" );
document.write( "Reaggarnging the members of a committee does not change the committee, but\r\n" );
document.write( "assigning the same 4 to different sections is not the same situation.]\r\n" );
document.write( "\r\n" );
document.write( "Edwin

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