document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=635778>Question 635778</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone check my work on this problem?\r<BR>\n" );
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document.write( "City Pizza makes a specialty pizza with 4 layers of toppings alternating with layers of cheese and advertises that they offer 26 different toppings.\r<BR>\n" );
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document.write( "A) How many different pizzas can be made if none of the toppings can be duplicated and the order of the toppings matters?\r<BR>\n" );
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document.write( "26*25*24*23 = 358,800\r<BR>\n" );
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document.write( "B) How many different pizzas can be made if none of the toppings can be duplicated and the order of toppings doesn't matter?\r<BR>\n" );
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document.write( "26!/4!(26-4!)=14,950\r<BR>\n" );
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document.write( "Any help would be great, thank you so much </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #400529 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=400529\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "You can't do better than perfect.  Good job.\r<BR>\n" );
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document.write( "The only thing I might have done differently would be to express the first one as:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ ^{26}P_4\ =\ \frac{26!}{(26\,-\,4)!}\ =\ \frac{26!}{22!}\">\r<BR>\n" );
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document.write( "and then show your arithmetic, just to demonstrate that I really know what is going on.  The second one is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ ^{26}C_4\ =\ {{26}\choose{4}}\ =\ \frac{26!}{4!(26\,-\,4)!}\">\r<BR>\n" );
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document.write( "if you want to get fancy on that one also.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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