There are 10 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?

Question

There are  10 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?

MathMate · Answer

See:
http://www.jiskha.com/display.cgi?id=1260057669

Note that in this problem, the positions are different, so choosing the same people for different positions is considered a different choice. There is no need to divide by 3! or n! for n positions.

Josh · Answer

720

Jenso · Answer

a club consisting of 14 members wishes to elect a state of officers from among its membership: president, vice-president, secretary, and treasure.(no person can hold more than one office ) how many different slates are possible?