document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1018797>Question 1018797</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 18) In a box there are 8 red and 6 blue markers. How many ways can you select 3 markers if:<BR>\n" );
document.write( "(a) exactly 1 red is selected?<BR>\n" );
document.write( "(b) no more than 2 blue are selected?<BR>\n" );
document.write( "(c) there are more blue than red selected?\r<BR>\n" );
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document.write( "I'm not sure where to begin can you please guide me through? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #634869 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=634869\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 8 ways to select one red.<BR>\n" );
document.write( "6C2 ways to select 2 blue<BR>\n" );
document.write( "that is 15.<BR>\n" );
document.write( "numbering the blues 1 through 6<BR>\n" );
document.write( "12<BR>\n" );
document.write( "13<BR>\n" );
document.write( "14<BR>\n" );
document.write( "15<BR>\n" );
document.write( "16<BR>\n" );
document.write( "23<BR>\n" );
document.write( "24<BR>\n" );
document.write( "25<BR>\n" );
document.write( "26<BR>\n" );
document.write( "34<BR>\n" );
document.write( "35<BR>\n" );
document.write( "36<BR>\n" );
document.write( "45<BR>\n" );
document.write( "46<BR>\n" );
document.write( "56<BR>\n" );
document.write( "So the number of ways are 8*15=120<BR>\n" );
document.write( "no more than two blue mean 15 ways for 2+6 ways for 1+the number of ways one can select 3 from 8 red (0 blue).  That is 8C3 or 56 ways, so the total is 15+6+56=77 ways.<BR>\n" );
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document.write( "more blue than red.<BR>\n" );
document.write( "3 blue and 0 red.  That is 6C3=20 ways. 6C3 is the number of ways one can select 3 items from 6.  It si 6!/3!/3!, or 6*5*4*3!/3!3!<BR>\n" );
document.write( "2 blue and 1 red.  That is 6C2*8=120 ways and the total is 140 ways.<BR>\n" );
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