Re: [中學] 選派問題
※ 引述《sharonhung17 (小倩)》之銘言:
: 某校從8名教師中選派4名教師去4個城市研習,每地1人,其中甲和乙不能同時被選派,甲
: 和丙只能同時被選派或同時不被選派,試問共有幾種選派方案?
甲乙丙丁戊己庚辛 到 ABCD
限制條件:((甲 XOR 乙) OR (NOT(甲 AND 乙)))
AND ((甲 AND 丙) OR (NOT (甲 AND 丙)))
i.e. (甲丙XX-甲乙丙X)+(OOOO<不含甲丙>)
C(6,2)-C(5,1)+C(6,4)
=6!/(2!*4!)-5!/(1!*4!)+6!/(4!*2!)
=15-5+15=25
人選=25
方案=人選*城市排列=25*4!=600
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※ 編輯: angel07 (220.129.102.253), 03/21/2016 16:29:00
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