document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1135860>Question 1135860</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man has 7 relative.Four of them are ladies and 3 gentleman;his wife also has 7 relatives.Three of them are ladies and 4 gentlemen.IN how many ways can they invite 3 ladies and 3 gentlmen for a dinner party so that there are 3 of the mans relatives and 3 of the wifes relatives? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #753564 by </B><A HREF=/tutors/aboutme.mpl?userid=VFBundy><B>VFBundy(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=VFBundy><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=VFBundy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=753564\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Different combinations where you can choose three of the husband's relatives and three of the wife's relatives:<BR>\n" );
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document.write( "HUSBAND..............WIFE:<BR>\n" );
document.write( "3 men.........................3 women<BR>\n" );
document.write( "2 men/1 woman........1 man/2 women<BR>\n" );
document.write( "1 man/2 women........2 men/1 woman<BR>\n" );
document.write( "3 women....................3 men<BR>\n" );
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document.write( "Here are the number of ways you can choose each combination:<BR>\n" );
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document.write( "HUSBAND..............WIFE:<BR>\n" );
document.write( "3 men.........................3 women = (3C3) * (3C3) = (1) * (1) = 1<BR>\n" );
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document.write( "HUSBAND..............WIFE:<BR>\n" );
document.write( "2 men/1 woman........1 man/2 women = (3C2 * 4C1) * (4C1 * 3C2) = (3 * 4) * (4 * 3) = (12) * (12) = 144<BR>\n" );
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document.write( "HUSBAND..............WIFE:<BR>\n" );
document.write( "1 man/2 women........2 men/1 woman = (3C1 * 4C2) * (4C2 * 3C1) = (3 * 6) * (6 * 3) = (18) * (18) = 324<BR>\n" );
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document.write( "HUSBAND..............WIFE:<BR>\n" );
document.write( "3 women....................3 men = (4C3) * (4C3) = (4) * (4) = 16<BR>\n" );
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document.write( "Add all these together:<BR>\n" );
document.write( "1 + 144 + 324 + 16 = 485<BR>\n" );
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document.write( "<b>There are 485 different ways the couple can invite three men and three women to a dinner party so that three of the people are relatives of the husband and three of the people are relatives of the wife.</b> </SPAN>\n" );
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