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Math Challenge lll Winter 2023-2024 Combinatorics

 
 
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Re: Math Challenge lll Winter 2023-2024 Combinatorics
LensmireJohn - 2023年12月22日 Friday 11:14
 

You're very close! Here's a quick hint: your sum can be expressed as C(3,3) + C(4,3) + C(5,3) + C(6,3) + ....

Is there an identity that can help from here?