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Yahoo!奇摩知識+ - 分類問答 - 科學常識 - 發問中
Yahoo!奇摩知識+ - 分類問答 - 科學常識 - 發問中
一題86年社會組數學指考題"機率+排組"
Jun 12th 2013, 09:02

袋中有七個相同的球,分別標示1號、2 號、……、7 號。若自袋中隨機取出四個球(取出之球不再放回),則取出之球上的標號和為奇數的機率為?

答案詳解給

P= [C(4取3)xC(3取1) + C(4取1)xC(3取3)] / C(7取4) = 16/35

我想問為什麼不是

P= [C(4取3)xC(3取1)x 4! + C(4取1)xC(3取3)x 4! ] / C(7取1)xC(6取1)xC(5取1)xC(4取1)

答案算出來是一樣,但我想問觀念問題?

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