document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1084486>Question 1084486</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many different meals are possible?  Astronauts each consume 3000 calories a day.  One meal consist of a main dish a vegetable dish and two different desserts.  The astronauts can choose from 10 main dishes 8 vegetables dishes and 15 desserts.  How many different meals are possible? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #699909 by </B><A HREF=/tutors/aboutme.mpl?userid=mathmate><B>mathmate(429)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathmate><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=mathmate><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=699909\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question:<BR>\n" );
document.write( "How many different meals are possible?  Astronauts each consume 3000 calories a day.  One meal consist of a main dish a vegetable dish and two different desserts.  The astronauts can choose from 10 main dishes 8 vegetables dishes and 15 desserts.  How many different meals are possible?<BR>\n" );
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document.write( "Solution:<BR>\n" );
document.write( "The number of combinations of desserts is C(15,2)=15!/(2!13!)=105<BR>\n" );
document.write( "The total number of meals is the product <BR>\n" );
document.write( "10 (main) * 8 (vege) * 105 (desserts)<BR>\n" );
document.write( "= 8400<BR>\n" );
document.write( "That will last a couple of years!<BR>\n" );
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