\magnification=1200 \hsize=4in \overfullrule=0pt \input amssym %\def\frac#1 #2 {{#1\over #2}} \def\emph#1{{\it #1}} \def\em{\it} \nopagenumbers \noindent % % {\bf Russell May} % % \medskip \noindent % % {\bf Coupon Collecting with Quotas} % % \vskip 5mm \noindent % % % % We analyze a variant of the coupon collector's problem, in which the probabilities of obtaining coupons and the numbers of coupons in a collection may be non-uniform. We obtain a finite expression for the generating function of the probabilities to complete a collection and show how this generalizes several previous results about the coupon collector's problem. Also, we provide applications about computational complexity and approximation. \bye .