SOLUTION: Three people out of 12 are selected to hold an office. The positions are president, vice president and secretary. In how many ways can these offices be held?

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Question 627257: Three people out of 12 are selected to hold an office. The positions are president, vice president and secretary. In how many ways can these offices be held?
Found 2 solutions by ewatrrr, stanbon:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Three people out of 12 are selected to hold an office.  The positions are president, vice president and secretary.

In how many ways can these offices be held? 

order Important: 12P3 = 12!/9! = 12%2A11%2A10 ways

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Three people out of 12 are selected to hold an office. The positions are president, vice president and secretary. In how many ways can these offices be held?
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The titles imply order in the selection.
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Ans: 12P3 = 12!/(12-3)! = 12*11*10 = 1320
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Cheers,
Stan H.
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