document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=542974>Question 542974</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A new automobile comes with the choices of 5 colors & 3 different engine types. Then there is a list of 12 possible options to include in your new car. you can choose any number of these options, from none to all 12. How many different possible automobiles must the factory be prepared to build.\r<BR>\n" );
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document.write( "I tried doing 5*3*12 but i wasnt sure if that was the correct way to solve the problem.. & then i attempted to use what is called nPr where i did 12! divided by 5!*3! but once again i wasnt quite sure if that was correct.. Help please? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #354719 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=354719\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A new automobile comes with the choices of 5 colors & 3 different engine types. Then there is a list of 12 possible options to include in your new car. you can choose any number of these options, from none to all 12. How many different possible automobiles must the factory be prepared to build. <BR>\n" );
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document.write( "Each of the options is either chosen or not chosen: there are 2^12 possibilities.<BR>\n" );
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document.write( "Ans: 5*3*2^12 = 61,440 different configurations<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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