Prove-that-0-i-lt-j-n-1-n-C-i-1-n-C-j-r-0-n-1-n-r-n-C-r-r-1-n-r-n-C-r-

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