Nilai dari C(9,5)adalah

Jawab:

[tex]\displaystyle\text C^9_5=\frac{9!}{5!(9-5)!}\\\text C^9_5=\frac{9\cdot8\cdot7\cdot6\cdot5!}{5!\cdot4!}\\\text C^9_5=\frac{9\cdot8\cdot7\cdot6}{4\cdot3\cdot2\cdot1}\\\text C^9_5=9\cdot2\cdot7\\\text C^9_5=126[/tex]

Beberapa konsep yang dipakai:

[tex]\displaystyle\circ\rangle\:\text{Kombinatorika}\\\triangleright~n!=\begin{Bmatrix}1&n=0\\n\times(n-1)!&n>0\end{matrix}\\\triangleright~\text C^n_k=\frac{n!}{k!(n-k)!}[/tex]