There are 9 members on a board of directors. If they must elect a chairperson, a secretary, and a treasurer, how many different slates of candidates are possible?

The three positions are different roles, so assigning members to them is an ordered selection. There are 9 choices for chairperson, then 8 remaining choices for secretary, and 7 for treasurer. Thus, 9 × 8 × 7 = 504 different slates; the correct choice is 504.

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