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C-4-4-C-4-5-C-4-6-C-4-26-




Question Number 185350 by cortano1 last updated on 20/Jan/23
   C_4 ^4 +C_4 ^5 +C_4 ^6 +...+C_4 ^(26)  =?
C44+C45+C46++C426=?
Commented by mr W last updated on 24/Jan/23
=C_(4+1) ^(26+1) =C_5 ^(27) =80730  generally:  Σ_(k=r) ^n C_r ^k =C_(r+1) ^(n+1)
=C4+126+1=C527=80730generally:nk=rCrk=Cr+1n+1

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