document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1173614>Question 1173614</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how many outcomes are possible for a car with 2 models, 8 colors, and any combination of 4 options?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #798917 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13209)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=798917\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Two tutors provided responses showing that they did not understand the problem as presented; another tutor provided a response that I think reads something into the problem that is not there.<br><BR>\n" );
document.write( "With 2 models and 8 colors, there are 2*8=16 combinations of model and color.<br><BR>\n" );
document.write( "Then \"any combination of 4 options\" means there are 4 options available, and you can choose ANY combination of them, including none of them.<br><BR>\n" );
document.write( "Counting the number of combinations of 4 of the options is like finding the number of subsets of a set containing 4 elements; including the empty set (choosing none of the 4 options).  The number of subsets of a set with n elements is 2^n, so the number of possible combinations of the 4 options is 2^4=16.<br><BR>\n" );
document.write( "So the total number of possible cars is 2*8*16 = 256.<br><BR>\n" );
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