document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1085261>Question 1085261</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2 bananas are to be selected from a group of 8. In how many ways can this be done? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #699327 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=699327\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=\"black\" face=\"times\" size=\"4\">We have two slots to fill: Slot A, Slot B\r<BR>\n" );
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document.write( "There are 8 choices for slot A\r<BR>\n" );
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document.write( "There are 7 choices for slot B\r<BR>\n" );
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document.write( "There are 8*7 = 56 permutations possible. This would be the answer if order mattered.\r<BR>\n" );
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document.write( "Since order does not matter, we must divide that result by 2 to get 56/2 = 28\r<BR>\n" );
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document.write( "We divide by two to correct for double-counting.\r<BR>\n" );
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document.write( "The final answer is <font color=red>28</font>\r<BR>\n" );
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document.write( "Side Note: we can use the combination formula to get\r<BR>\n" );
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document.write( "n C r = (n!)/(r!*(n-r)!)<BR>\n" );
document.write( "8 C 2 = (8!)/(2!*(8-2)!) ... plug in n = 8 and r = 2<BR>\n" );
document.write( "8 C 2 = (8!)/(2!*6!)<BR>\n" );
document.write( "8 C 2 = (8*7*6!)/(2!*6!)<BR>\n" );
document.write( "8 C 2 = (8*7)/(2!)<BR>\n" );
document.write( "8 C 2 = (8*7)/(2*1)<BR>\n" );
document.write( "8 C 2 = 56/2<BR>\n" );
document.write( "8 C 2 = <font color=red>28</font>\r<BR>\n" );
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document.write( "which is an alternative way to get the same answer</font> </SPAN>\n" );
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