document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=32790>Question 32790</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bowl contains 50 colored marbles, 13 Green, 10 Red, 9 Blue, 8 Yellow, 6 Black, 4 White. If you are blindfolded, what is the smallest number of marbles you must pick to guarantee that you have at least 7 marbles of the same color? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #19228 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=19228\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First I ask the question: \"What is the largest number of marbles I must pick<BR>\n" );
document.write( "and still have the possibility that I don't have 7 of the same color?\"<BR>\n" );
document.write( "green 13......6<BR>\n" );
document.write( "red...10......6<BR>\n" );
document.write( "blue..9.......6<BR>\n" );
document.write( "yellow 8......6<BR>\n" );
document.write( "black..6......6<BR>\n" );
document.write( "whitee.4......4<BR>\n" );
document.write( "If I happened to pick these colors in the indicated numbers, I still<BR>\n" );
document.write( "wouldn't have 7 of the same color<BR>\n" );
document.write( "But if I pick one more, I am guaranteed to have 7 of the same color.<BR>\n" );
document.write( "The answer is 35 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );