數學求救

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EDDIE
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註冊時間: 週一 9月 13, 2010 5:02 pm

數學求救

文章 EDDIE »

冰箱裡有蘋果6個,梨子7個,香蕉8根,奇異果9個,小智要拿出6個水果任意排成一列給6位同學,若相鄰兩位同學拿到不同的水果,且至少有3種水果的方法有幾種?
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榮譽院長級
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Re: 數學求救

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4X3X3X3X3X3-4X3=

(好多 (賊) )
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cat
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Re: 數學求救

文章 cat »

相鄰兩位同學拿到不同的水果= 4X3X3X3X3X3=972
相鄰兩位同學拿到不同的水果但只有2種水果=C(4,2)x2=6x2=12
答案=972-12=960
不知對否!!
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EDDIE
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Re: 數學求救

文章 EDDIE »

感謝您,答案正確。可否使用正面解法,3種水果? 4種水果? 謝謝.
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文章: 1061
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Re: 數學求救

文章 cat »

EDDIE 寫:感謝您,答案正確。可否使用正面解法,3種水果? 4種水果? 謝謝.
我覺得正面解法更難解: 有請高手了
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榮譽院長級
榮譽院長級
文章: 43450
註冊時間: 週四 3月 26, 2009 8:10 pm
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Re: 數學求救

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EDDIE 寫:感謝您,答案正確。可否使用正面解法,3種水果? 4種水果? 謝謝.
3種比較好算 4X3X2X2X2X2X2-12

4種比較麻煩...不然就960-4X3X2X2X2X2X2+12好了 (賊)
xkuk
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Re: 數學求救

文章 xkuk »

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