Question

Five candidates are running for three different class offices: president, vice president, and secretary. In how many ways can the offices be filled with these candidates?

Answer 1

\[\left(\begin{matrix}5 \\ 3\end{matrix}\right)\]

Answer 2

The order of selection is important, therefore the number of permutations of the five candidates taken three at a time is needed.
\[5P3=\frac{5!}{(5-3)!}=\frac{5\times4\times3\times2}{2}=you\ can\ calculate\]

Answer 3

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