document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1114270>Question 1114270</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A newly married couple is planning to have 5 children. How many possible gender combinations are there ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #729257 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</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=729257\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The problem is not clearly defined.<br><BR>\n" );
document.write( "One possible interpretation is like that by tutor ikleyn.  Each child can be either a boy or girl (2 choices), so with 5 children the number of different sequences of 5 children is 2^5 = 32.<br><BR>\n" );
document.write( "However, the statement of the problem asks for the possible number of gender combinations; in formal mathematics that means we are not interested in the order of the boys and girls in the family.<br><BR>\n" );
document.write( "With that interpretation of the problem, there are only 6 possible combinations:<BR>\n" );
document.write( "0 boys, 5 girls<BR>\n" );
document.write( "1 boy, 4 girls<BR>\n" );
document.write( "2 boys, 3 girls<BR>\n" );
document.write( "3 boys, 2 girls<BR>\n" );
document.write( "4 boys, 1 girl<BR>\n" );
document.write( "5 boys, 0 girls<br><BR>\n" );
document.write( "We can't be sure of which question you were really asking.... </SPAN>\n" );
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