document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=266190>Question 266190</A>: <I><SPAN STYLE=\"word-break: break-all;\">  How many ways are there of choosing 5 letters, without replacement, from 17 distinct letters, if\r<BR>\n" );
document.write( "\n" );
document.write( "    the order of the choices is not taken into consideration?<BR>\n" );
document.write( "    the order of the choices is taken into consideration?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #195601 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=195601\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How many ways are there of choosing 5 letters, without replacement, from 17 distinct letters, if <BR>\n" );
document.write( "the order of the choices is not taken into consideration?<BR>\n" );
document.write( "Ans: 17C5 = [17!/(17-5)!]/5! = 6188<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "the order of the choices is taken into consideration?<BR>\n" );
document.write( "17P5 = 17!/(17-5)! = 17*16*15*14*13 = 742,560<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" );