document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198950>Question 1198950</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Toni has 10 identical blue socks, 14 identical green socks, and 4 identical red socks in a drawer. She removes socks from the drawer one at a time at random without looking. The least number of socks that Toni needs to pull out to be sure of having 4 pairs of the same colour is:<BR>\n" );
document.write( "a) 8<BR>\n" );
document.write( "b) 15<BR>\n" );
document.write( "c) 16<BR>\n" );
document.write( "d) 19<BR>\n" );
document.write( "e) 22<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832737 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52776)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=832737\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Toni has 10 identical blue socks, 14 identical green socks, and 4 identical red socks in a drawer. <BR>\n" );
document.write( "She removes socks from the drawer one at a time at random without looking. <BR>\n" );
document.write( "The least number of socks that Toni needs to pull out to be sure of having 4 pairs of the same colour is:<BR>\n" );
document.write( "a) 8<BR>\n" );
document.write( "b) 15<BR>\n" );
document.write( "c) 16<BR>\n" );
document.write( "d) 19<BR>\n" );
document.write( "e) 22<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "In the worst case scenario, &nbsp;Toni will pull out 4 identical red socks, &nbsp;7 identical blue socks and 7 identical green socks,\r<BR>\n" );
document.write( "\n" );
document.write( "but still will not have 4 pairs of the same color.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Notice that &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;4 + 7 + 7 = 18 &nbsp;&nbsp;socks.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "But then, &nbsp;had Toni pull out anyone of remaining socks from the drawer,\r<BR>\n" );
document.write( "\n" );
document.write( "this &nbsp;19-th sock will create four pairs of identical socks, &nbsp;either blue or green.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Therefore, &nbsp;the least number of socks that Toni needs to pull out to be sure of having &nbsp;4 &nbsp;pairs of the same color is &nbsp;19.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Solved.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );