Fundamental Counting Rule


In a sequence of \(n\) events in which the first one has \(k_1\) possibilities and the second event has \(k_2\) and the third has \(k_3\), and so forth, the total number of possibilities of the sequence will be

\[k_1\cdot k_2\cdot k_3\cdot\cdot\cdot k_n\]

Note: In this case and means to multiply.