document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=597772>Question 597772</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bag contains 8 apples and 6 oranges. If you select 7 pieces of fruit without looking, how many ways can you get exactly 6 apples?<BR>\n" );
document.write( "Can you please show me how to work this problem.... I think it is 8!/6! = 56??? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #378337 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=378337\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you have 7 selections, and 6 of them are taken up by apples, then the last selection must be an orange.\r<BR>\n" );
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document.write( "There are 8 apples. So there are 8 C 6 = (8!)/(6!(8-6)!) = 28 ways to select 6 apples (from 8)\r<BR>\n" );
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document.write( "There are 6 oranges. Since the there's only one spot for an orange, there are only 6 ways to select an orange.\r<BR>\n" );
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document.write( "So multiply these results to get 28*6 = 168\r<BR>\n" );
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document.write( "This means that there are 168 ways to select exactly 6 apples. </SPAN>\n" );
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