document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189299>Question 1189299</A>: <I><SPAN STYLE=\"word-break: break-all;\"> James wishes to plant 27 flowers in a flower-bed.<BR>\n" );
document.write( "He can choose from 17 different geraniums, 9<BR>\n" );
document.write( "different roses and 7 different lilies. He wants to<BR>\n" );
document.write( "have at least 13 geraniums and also to have the<BR>\n" );
document.write( "same number of roses and lilies. Find the number<BR>\n" );
document.write( "of different selections of flowers he can make </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #820638 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=820638\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "27 plants total, with the number of geraniums at least 13 and at most 17, and equal numbers of roses and lilies, the choices are<br><BR>\n" );
document.write( "13 geraniums, 7 roses, 7 lilies<BR>\n" );
document.write( "15 geraniums, 6 roses, 6 lilies<BR>\n" );
document.write( "17 geraniums, 5 roses, 5 lilies<br><BR>\n" );
document.write( "With one possible interpretation of the phrase \"number of different selections of flowers\", the answer is then \"3\".<br><BR>\n" );
document.write( "But that is probably not the intended meaning. Presumably the desired answer is<br><BR>\n" );
document.write( "C(17,13)*C(9,7)*C(7,7) + C(17,15)*C(9,6)*C(7,6) + C(17,17)*C(9,5)*C(7,5)<br><BR>\n" );
document.write( "You can do the calculations....<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );