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%Fall 1998 Final exam
% Added by George
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\problem {\bf (8 points)} Some MIT students go for dinner at the
Border Cafe in Harvard Square.  They want to order enough appetizers
to feed everyone.  Chili con queso will feed one person, Tejas chicken
will feed two people, and quesadillas will feed three people.  Write
the generating function for the number of different appetizer orders
that will feed exactly $n$ people.

\examonly{\vspace{3in}}

\solution{
\[
\frac{1}{1-x} \cdot \frac{1}{1-x^2} \cdot \frac{1}{1-x^3}
\]
}
