document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1135364>Question 1135364</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a person has 12 friend of whom 8 are relative.in how many ways can he invit 7 friends such that at least 5 of them may be relatives? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #753044 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=753044\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "(1) 5 relatives and 2 others: (8 choose 5) times (4 choose 2)  --  C(8,5)*C(4,2)<br><BR>\n" );
document.write( "or<br><BR>\n" );
document.write( "(2) 6 relatives and 1 other: (8 choose 6) times (4 choose 1)  --  C(8,6)*C(4,1)<br><BR>\n" );
document.write( "or<br><BR>\n" );
document.write( "(3) 7 relatives and 0 others: (8 choose 7) times (4 choose 0)  --  C(8,7)*C(4,0)<br><BR>\n" );
document.write( "Add the three numbers. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );