Question

How do we solve the following permutation:The student body of 30 students wants to elect a president, vice president and secretary

Answer 1

`24,360\:ways`

1) In this question, we need to reason a bit. There is only one vacancy for president, vice president, and one secretary.

2) So, we can write out the following Permutation since the president, vice president and secretary will come out of those 30 students:

`\begin{gathered} _(30)P_3=30\cdot29\cdot28 \\ _(30)P_3=24,360 \end{gathered}`

Thus there will be:

`24,360\:ways`