document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=472794>Question 472794</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An examination paper contains 12 different questions of which 3 are on trigonometry, 4 are on algebra and 5 on calculus. Girls are asked to answer 8 questions. Calculate:<BR>\n" );
document.write( "i) the number of different ways in which a girl can select 8 questions if there is no restriction,<BR>\n" );
document.write( "ii) the number of these selections which contain questions on only 2 of the 3 topics,trigonometry, algebra and calculus.  \r<BR>\n" );
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document.write( "*Please answer as soon as possible bro :)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #324136 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=324136\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An examination paper contains 12 different questions of which <BR>\n" );
document.write( "3 are on trigonometry, <BR>\n" );
document.write( "4 are on algebra and <BR>\n" );
document.write( "5 on calculus.<BR>\n" );
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document.write( "Girls are asked to answer 8 questions. Calculate:<BR>\n" );
document.write( "i) the number of different ways in which a girl can select 8 questions if there is no restriction,<BR>\n" );
document.write( "Ans: 12C8 = 12C4 = (12*11*10*9)/(1*2*3*4) = 495<BR>\n" );
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document.write( "ii) the number of these selections which contain questions on only 2 of the 3 topics,trigonometry, algebra and calculus. <BR>\n" );
document.write( "Ans:<BR>\n" );
document.write( "alg and trig: there are not 8 questions in the combined categories<BR>\n" );
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document.write( "alg and calc: 9C8 = 9C1 = 9 selections<BR>\n" );
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document.write( "trig and calc: 8C8 = 1 selection<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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