PuzzleUp 2009 (18) Name and Surname - 拼圖
By Lily
at 2009-12-19T19:37
at 2009-12-19T19:37
Table of Contents
: 推 killyou:f(k,i)=#i kinds of k letters, f(k)=sum_(i=1)^4 f(k,i) 11/19 00:27
: → killyou:then it's sum_{i=1}^4 f(k,i)*f(k-i). 11/19 00:28
: → killyou:f(26,1)=26 type:AAAA, f(26,3)=C(26,3)*4!/2! type:AACD 11/19 00:32
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
26取3異的組合數是C(26,3)
可是比如像ACD這組,組成2同+1+1的話,卻有
AACD, CCAD, DDAC三種組合
這三種組合都各有4!/2!種排列
所以,2同+1+1的排列數恐怕不是C(26,3)*4!/2!吧
--
沒事多喝水
多喝水沒事
--
: → killyou:then it's sum_{i=1}^4 f(k,i)*f(k-i). 11/19 00:28
: → killyou:f(26,1)=26 type:AAAA, f(26,3)=C(26,3)*4!/2! type:AACD 11/19 00:32
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
26取3異的組合數是C(26,3)
可是比如像ACD這組,組成2同+1+1的話,卻有
AACD, CCAD, DDAC三種組合
這三種組合都各有4!/2!種排列
所以,2同+1+1的排列數恐怕不是C(26,3)*4!/2!吧
--
沒事多喝水
多喝水沒事
--
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