There are 28 members. If they must elect a chairperson, first vice chairperson, second vice chairperson, and secretary, how many different slates of candidates are possible?

491,400 different slates of candidates are possible

Step-by-step explanation:

The order is important.

For example, a slate of John, Rose, Laura and Elisa is different than a slate of Rose, John, Laura and Elisa, since the roles of John are Rose are exchanged.

Permutations formula:

The number of permutations of x elements from a set of n elements is given by:

In this problem, we have that:

4 roles to be chosen from a set of 28 members. So

491,400 different slates of candidates are possible

where is the figure