3-1. 基本計數原理

The Rule of Product

⟶n1⟶n2⟶ \longrightarrow n_1 \longrightarrow n_2 \longrightarrow ... ⟶nk⟶∏i=1kni \longrightarrow n_k \longrightarrow \displaystyle\prod_{i=1}^{k} n_i

k k : 步驟數; nx n_x : 獨立且連續的方法數

The Rule of Sum

⟶{n1n2⋮nk}⟶∑i=1kni \longrightarrow \begin{Bmatrix} n_1 \\ n_2 \\ \vdots \\ n_k \end{Bmatrix} \longrightarrow \displaystyle\sum_{i=1}^{k} n_i

k k : 步驟數; nx n_x : 非同時發生(互斥)的方法數

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