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There are 12 members on a board of directors. If they must elect a chairsperson, a secretary, and a treasure, how many different slates of candidates are possible?

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AL2006

The first candidate can be any one of the 12 members.  For each of those . . .
The second candidate can be any one of the remaining 11.  For each of those . . .
The third candidate can be any one of the remaining 10.

The total number of possible slates is (12 x 11 x 10) = 1,320 .