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ÊÁѤÃÊÁÒªÔ¡ ¤ÙèÁ×Í¡ÒÃãªé ÃÒª×èÍÊÁÒªÔ¡ »¯Ô·Ô¹ ¢éͤÇÒÁÇѹ¹Õé

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  #1  
Old 21 àÁÉÒ¹ 2012, 16:59
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¤èҢͧ $\frac{(1+19)(1+\frac{19}{2})(1+\frac{19}{3})....(1+\frac{19}{91})}
{(1+91)(1+\frac{91}{2})(1+\frac{91}{3}).....(1+\frac{91}{19})}$ à»ç¹à·èÒäÃ
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21 àÁÉÒ¹ 2012 16:59 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ cardinopolynomial
à˵ؼÅ: ¾ÔÁ¾ì¼Ô´
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  #2  
Old 21 àÁÉÒ¹ 2012, 17:32
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ÊǨÃÔ§æ¤ÃѺ µÑ´¡Ñ¹ä´é 1¾Í´ÕàŤÃѺ
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Old 21 àÁÉÒ¹ 2012, 17:57
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1¨ÃÔ§´éÇÂ...
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Old 22 àÁÉÒ¹ 2012, 21:38
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1 ¤ÃѺ ÊÇÂÁÒ¡æ
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  #5  
Old 23 àÁÉÒ¹ 2012, 00:05
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ËÅèÍä´éäËÁ¤ÃѺ 555+

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Old 23 àÁÉÒ¹ 2012, 00:37
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Old 25 àÁÉÒ¹ 2012, 20:07
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·ÓÂѧä§ËÃͤèÐ ªèÇÂÊ͹ÇÔ¸Õ˹èÍÂä´éäËÁ¤Ð
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hello I am thesugardropnumber23
and what number are you ?


àÁ×èÍäËÃè¨ÐÁͧµÃ§¹Õé ¤¹·ÕèÍÂÙè¢éÒ§à¸Í à¢Ò¡çá¤èà¾Ôè§à¨Í ÃÑ¡©Ñ¹¹Ðà¸Íä´éäËÁ
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¾ÃШѹ·ÃìÂÔéÁ Akera *
µÍº¾ÃéÍÁÍéÒ§ÍÔ§¢éͤÇÒÁ¹Õé
  #8  
Old 25 àÁÉÒ¹ 2012, 20:27
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¢éͤÇÒÁà´ÔÁà¢Õ¹â´Â¤Ø³ TheSugardrop23 View Post
·ÓÂѧä§ËÃͤèÐ ªèÇÂÊ͹ÇÔ¸Õ˹èÍÂä´éäËÁ¤Ð
Åͧ¤Ù³´éÇ $\frac{91!}{91!}$ ´Ù¹Ð¤ÃѺ
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  #9  
Old 25 àÁÉÒ¹ 2012, 21:09
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à¾Ô觷Óä´é¢éÍáá ¨Ò¡·Õè·Óã¹àÇ纹ÕéÁÒ ÍШÖëÂ
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  #10  
Old 26 àÁÉÒ¹ 2012, 01:40
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·ÓµÃ§æẺäÁèµéͧ¤Ô´ÁÒ¡
$$\frac{(20)(\frac{21}{2})(\frac{22}{3})...(\frac{38}{19})(\frac{39}{20})...(\frac{110}{91})}{(92)(\frac{93}{2})(\frac{94}{3}).. .(\frac{110}{19})}$$ $$=\frac{20\cdot21\cdot22\cdot...\cdot110}{2\cdot3\cdot...\cdot91}\times\frac{2\cdot3...\cdot19}{92\cdot93\cdot...\cdot110}$$ $$=\frac{20\cdot21\cdot...\cdot91}{20\cdot21\cdot...\cdot91}=1$$
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