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?

Algebra.Com
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)   (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! = ways
Answer by stanbon(75887)   (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?
----
The titles imply order in the selection.
---
Ans: 12P3 = 12!/(12-3)! = 12*11*10 = 1320
================
Cheers,
Stan H.
=============

RELATED QUESTIONS

Suppose there are 14 freshman, 10 sophomores, 16 juniors, and 15 seniors running for the... (answered by greenestamps)
Suppose there are 14 freshman, 17 sophomores, 16 juniors, and 14 seniors running for the... (answered by ikleyn)
How many ways of filling three positions of president, vice-president and secretary by... (answered by Alan3354)
A president,a vice president and a secretary are to elected from the 12 members of board... (answered by ikleyn)
A president,a vice president and a secretary are to be elected from the 12 members of... (answered by Alan3354)
Four students are to be chosen from a group of 10 to fill the positions of president vice (answered by checkley79)
Four students are to be chosen from a group of 10 to fill the positions of president,... (answered by stanbon)
In how many ways can a president, vice president, secretary, and treasurer be selected... (answered by sudhanshu_kmr)
A neighborhood association elects a president, vice president, secretary and treasurer.... (answered by checkley77)