作者ooopppeeennn (open)
看板Grad-ProbAsk
标题[问题] 三题离散
时间Tue Mar 17 00:30:55 2009
1.There are p kinds of objects with four of each kind and q kinds of
objects with two of each kind (q is an even number). In how many ways
can they be divided into two equal piles such that there is an even
number of each kind of object in both piles ?(0 is taken as an even
number .) Evaluate your result for p=4 and q=2.
2.(a)Find the ordinary generating function of the sequence (a0,a1,a2...)
where ar is the number of ways of selecting r objects from a set
of six distinct objects , where each object can be selected no
more than thrive.
(b)From the generating function found in part (a) ,determine the number
of outcomes when three indistinguishable dice are rolled
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