document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1098616>Question 1098616</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A fisherman has 13 different trout flies. How many different selections of 7 flies each can he make? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #712985 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=712985\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A fisherman has 13 different trout flies. How many different selections of 7 flies each can he make?<BR>\n" );
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document.write( "Label them A thru M.<BR>\n" );
document.write( "The 1st pick is 1 of 13.<BR>\n" );
document.write( "then 1 of 12<BR>\n" );
document.write( "Then 1 of 11<BR>\n" );
document.write( "etc<BR>\n" );
document.write( "--> 13*12*11*10*9*8*7<BR>\n" );
document.write( "= a big number<BR>\n" );
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document.write( "But, choosing A, B, C ... & K is the same as choosing B, K, C, A ...<BR>\n" );
document.write( "---> 7*6*5*4*3*2*1 ways to choose any combination.<BR>\n" );
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document.write( "So the possibilities are 13*12*11*10*9*8*7/(7*6*5*4*3*2*1)<BR>\n" );
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document.write( "You can calculate that, or use<BR>\n" );
document.write( "13!/(13-7)!*7!)<BR>\n" );
document.write( "= 1716 ways<BR>\n" );
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