document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1370>Question 1370</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A candy factory classifies its candies as (Carmel-5 types) (chocolate 7 types) ( Dark  chocolate 10 types). A customer wants (4 types of Carmel) (5 types of Chocolate) (7 types of Dark Chocolate) and i need to know how many assortments are possible? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #413 by </B><A HREF=/tutors/aboutme.mpl?userid=khwang><B>khwang(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=khwang><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=413\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Choose 4 among 5  Carmel types, there are C(5,4) = 5 =(5!/4!) possibilities<BR>\n" );
document.write( " Choose 5 among 7 chocolate types, there are C(7,5) = (7!/(5!2!)) <BR>\n" );
document.write( " = 7*6/2 = 21 possibilities<BR>\n" );
document.write( " Choose 7 among 10  Dark chocolate types, there are C(10,7) = (10!/(7!3!)) <BR>\n" );
document.write( " = 10*9*8/6 = 120 possibilities\r<BR>\n" );
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document.write( "  5 + 21 + 120 = 146\r<BR>\n" );
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document.write( " Totally,there are 146 different assortments\r<BR>\n" );
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document.write( " </SPAN>\n" );
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