document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=394731>Question 394731</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A pizza shop advertises that they have 8 toppings, and they sell large, medium, and small pizzas. On a small pizza, you must choose 3 different toppings. On a medium pizza, you must choose 4 different toppings, and on a large, you must choose 5 different toppings. How many different pizzas can they make?\r<BR>\n" );
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document.write( "Choose the answer and explain the reason to choose your response<BR>\n" );
document.write( "475<BR>\n" );
document.write( "219<BR>\n" );
document.write( "182<BR>\n" );
document.write( "657 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #280059 by </B><A HREF=/tutors/aboutme.mpl?userid=jrfrunner><B>jrfrunner(365)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jrfrunner><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=jrfrunner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=280059\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> my mistake<BR>\n" );
document.write( "I should have used combinations instead of permutations since order does not matter\r<BR>\n" );
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document.write( "small pizza: 8C3=336/6=56<BR>\n" );
document.write( "medium pizza:  8C4=1680/24=70<BR>\n" );
document.write( "large pizza:  8C5=6720/120=56\r<BR>\n" );
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document.write( "total pizzas= 56+70+56=182\r<BR>\n" );
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document.write( "==<BR>\n" );
document.write( "ignore below\r<BR>\n" );
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document.write( "these answers do not make sense!<BR>\n" );
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document.write( "for the small pizza there are 8P3=8*7*6=336 different types of small pizzas<BR>\n" );
document.write( "for the medium pizza there are 8P4=8*7*6*5=1680 <BR>\n" );
document.write( "for the large pizza there are 8P5=8*7*6*5*4=6720<BR>\n" );
document.write( "so there should be 336+1680+6720=8736 different pizzas </SPAN>\n" );
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