Prove that ΣΣ_(0≤i<j≤n) ((1/(^n C_i )) + (1/(^n C_j ))) = Σ_(r=0) ^(n−1) ((n − r)/(^n C_r )) + Σ_(r=1) ^n (r/(^n C


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Question Number 23471 by Tinkutara last updated on 31/Oct/17

$P r o v e t h a t$ $\underset{0 ⩽ i < j ⩽ n}{Σ Σ} (\frac{1}{^{n} C_{i}} + \frac{1}{^{n} C_{j}}) = \underset{r = 0}{\sum^{n - 1}} \frac{n - r}{^{n} C_{r}} + \underset{r = 1}{\sum^{n}} \frac{r}{^{n} C_{r}}$
	Answered by Tinkutara last updated on 02/Nov/17

	Commented by Tinkutara last updated on 02/Nov/17

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