Fibonacci Number as Sum of Binomial Coefficients/Examples
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Examples of Use of Fibonacci Number as Sum of Binomial Coefficients
Fibonacci Number $F_{12}$
| \(\ds F_{12}\) | \(=\) | \(\ds \binom {11} 0 + \binom {10} 1 + \binom 9 2 + \binom 8 3 + \binom 7 4 + \binom 6 5\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 1 + 10 + 36 + 56 + 35 + 6\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 144\) |