document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=867220>Question 867220</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find out in how many ways the operation can be performed? (Permutation & Combination)?  <BR>\n" );
document.write( "i) In how many ways can a committee of 5 or more be formed from 12 persons? \r<BR>\n" );
document.write( "\n" );
document.write( "ii) In how many ways can a committee of 5 be formed from 12 persons if only two of a group of 3 persons must always be included? \r<BR>\n" );
document.write( "\n" );
document.write( "All I know is it must be combination cause order/arrangement does not matter. \r<BR>\n" );
document.write( "\n" );
document.write( "I know to solve by formula too; but confused how to begin. Help... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #522856 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=522856\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find out in how many ways the operation can be performed? (Permutation & Combination)? <BR>\n" );
document.write( "i) In how many ways can a committee of 5 or more be formed from 12 persons?<BR>\n" );
document.write( "Ans: 12C5 + 12C6 + 12C7 + ... + 12C12<BR>\n" );
document.write( "--------------------------------------------- <BR>\n" );
document.write( "ii) In how many ways can a committee of 5 be formed from 12 persons if only two of a group of 3 persons must always be included?<BR>\n" );
document.write( "Ans: 3C2*9C3 = 3*84 = 252<BR>\n" );
document.write( "================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "---------------- <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );