document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=187980>Question 187980</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Omar wants to buy a double scoop ice cream cone.  His favorite flavors are vanilla, strawberry, raspberry, and chocolate. A combination with both scoops of raspberry represents ___ out of ___ possible combinations.             \r<BR>\n" );
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document.write( "Please show all combinations and work so we can understand.  Thank You kindly.    <BR>\n" );
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document.write( "                                                            Courtneys Mom </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #140955 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=140955\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Omar can have his double scoop either mixed (two flavors) or unmixed (one flavor)\r<BR>\n" );
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document.write( "there are 4 flavors, so there are 4 unmixed combinations\r<BR>\n" );
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document.write( "each of the four flavors can be combined with three other flavors, for a total of 4*3 or 12 mixed combinations\r<BR>\n" );
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document.write( "BUT . . . half of the mixed combinations are duplicates -- vanilla & raspberry is the same as raspberry & vanilla<BR>\n" );
document.write( " . . . so there are really only 6 mixed combinations\r<BR>\n" );
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document.write( "4 unmixed and 6 mixed gives a total of 10 possible combinations </SPAN>\n" );
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