填色問題 - 拼圖

By Susan
at 2009-09-16T07:36
at 2009-09-16T07:36
Table of Contents
有一張6*4的方格紙,將其中12格塗黑,使每列皆有2格、每行皆有3格為黑。
問有多少種上色方法?
原方格紙:
□□□□
□□□□
□□□□
□□□□
□□□□
□□□□
其中一種上色方法:
■■□□
□■■□
□□■■
■■□□
■□□■
□□■■
這題有沒有什麼方法可以計算?
又,如果每列要求的黑格數是不等的呢?(每行仍然相等)
版友rehearttw提出交換法,
但假設我一開始的盤面是這樣:
□■■□
□■■□
□■■□
■□□■
■□□■
■□□■
交換以後就會產生重複解了...
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