document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=26153>Question 26153</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PLease help, my son has these 2 problems and it has been forever since I have done them. If I knew how to set them up I could solve them...Thank you in advance.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1.A restaurant gives 3-course meals. First course, soup,salad,cottage cheese,or coleslaw.second course,beef,pork,chicken,pasta.Third, sherbert,pudding,or ice cream.How many different meals could you have if you choose one from each course?\r<BR>\n" );
document.write( "\n" );
document.write( "2.A class has 28 students, 23 like basketball,15 like baseball, 12 like both. How many don't like either? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #14057 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=14057\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The first is a combination problem.<BR>\n" );
document.write( "As a rule you can state:<BR>\n" );
document.write( "One can combine the items from a list \"A\" with the items from the list \"B\"<BR>\n" );
document.write( "in a x b ways  if there are a items in list A and b items in list b.<BR>\n" );
document.write( "This promblem gives us 3 lists.<BR>\n" );
document.write( ".....<BR>\n" );
document.write( "A good way to look at it, I think, is to follow the rule for 2 lists,<BR>\n" );
document.write( "then call the result a list and apply the rule again with the third<BR>\n" );
document.write( "list. That way you don't need another rule.<BR>\n" );
document.write( "So, let's do it.<BR>\n" );
document.write( "Soup can be combined with 4 different choices from the 2nd list<BR>\n" );
document.write( "Salad can be combined with 4 different choices from the 2nd list<BR>\n" );
document.write( "Cottage Cheese can be combined with 4 different choices from the 2nd list<BR>\n" );
document.write( "Clole Slaw can be combined with 4 different choices from the 2nd list<BR>\n" );
document.write( "...<BR>\n" );
document.write( "4 + 4 + 4 + 4 = 4 x 4 = 16<BR>\n" );
document.write( "That proves the rule and gives us our next list which looks like:<BR>\n" );
document.write( "soup .. beef<BR>\n" );
document.write( "soup .. pork<BR>\n" );
document.write( "soup .. chicken<BR>\n" );
document.write( "soup .. pasta<BR>\n" );
document.write( "salad .. beef<BR>\n" );
document.write( "salad .. pork<BR>\n" );
document.write( "salad .. chicken<BR>\n" );
document.write( "salad .. pasta<BR>\n" );
document.write( "cottage cheese .. beef<BR>\n" );
document.write( "....etc...<BR>\n" );
document.write( "We've got 16 items in this new list and we want to combine these 16 items<BR>\n" );
document.write( "with 3 items of the problem list, sherbet, pudding, ice cream.<BR>\n" );
document.write( "Apply the rule:<BR>\n" );
document.write( "16 x 3 = 48 and that is the answer<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "for the 2nd part, I draw what are called Venn diagrams. they look like<BR>\n" );
document.write( "circles that overlap partially to show things that the populations<BR>\n" );
document.write( "of thing in the circles have in common.\r<BR>\n" );
document.write( "\n" );
document.write( "Just with logic, if I have a circle inside of which are students that like baseball, and I have another circle inside of which are students that like<BR>\n" );
document.write( "basketball, then students that don't like either have got to be outside<BR>\n" );
document.write( "both circles.<BR>\n" );
document.write( "23 from the class like basketball, 15 like baseball, 12 like both.<BR>\n" );
document.write( "If 12 like both, and 15 like baseball, then 3 must ONLY like baseball.<BR>\n" );
document.write( "If I combine the 23 who like basketball (knowing there are 12 of them<BR>\n" );
document.write( "who like both, but not caring about that) with 3 who only like<BR>\n" );
document.write( "baseball, then I get 26 students who lie either or both.<BR>\n" );
document.write( "That leaves 2 who don't like either.\r<BR>\n" );
document.write( "\n" );
document.write( " <BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );