binomial
回答 (1)
2006-11-27 1:45 am
✔ 最佳答案
prove that 100!=250(1．3．5．．．99)．50! 100! = 1．2．3．….. ．99．100
= (1．3．5．…. ．99)(2．4．6．……．100)
= (1．3．5．…. ．99)[(1．2)．(2．2)．(2．3)．……．(2．50)]
= (1．3．5．…. ．99)[(1．2．3．…．50)．(2．2．2….2)] à(50個2相乘)
= (1．3．5．…. ．99)．50!．250
= R.H.S
所以這式成立。
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