document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=388972>Question 388972</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sample of 4 mousetraps taken from a batch of 100 mousetraps is to be inspected. How many different samples could be selected? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #275431 by </B><A HREF=/tutors/aboutme.mpl?userid=haileytucki><B>haileytucki(390)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=haileytucki><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=haileytucki><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=275431\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 100C4\r<BR>\n" );
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document.write( "Find the number of possible unordered combinations when r items are selected from n available items.<BR>\n" );
document.write( "100C4=nCr=(n!)/(r!(n-r)!)\r<BR>\n" );
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document.write( "Fill in the known values.<BR>\n" );
document.write( "(100!)/(4!(100-4)!)\r<BR>\n" );
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document.write( "Cancel out the common factorial factors.<BR>\n" );
document.write( "(100*99*98*97)/(4*3*2)\r<BR>\n" );
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document.write( "Cancel out the remaining common factors.<BR>\n" );
document.write( "25*33*49*97\r<BR>\n" );
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document.write( "Multiply 25 by 33 to get 825.<BR>\n" );
document.write( "825*49*97\r<BR>\n" );
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document.write( "Multiply 825 by 49 to get 40425.<BR>\n" );
document.write( "40425*97\r<BR>\n" );
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document.write( "Multiply 40425 by 97 to get 3921225.<BR>\n" );
document.write( "3921225 </SPAN>\n" );
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