SOLUTION: How many ways can a president, vice president , and secretary be chosen from a club with only 3 members

Question 159058: How many ways can a president, vice president , and secretary be chosen from a club with only 3 members
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let a, b and c represent the members
Let p, v, and s represent the offices
of president, vice president and secretary
p --- v --- s
-------------
a --- b --- c
a --- c --- b
b --- a --- c
b --- c --- a
c --- a --- b
c --- b --- a
These are the 6 different ways the 3 members can fill
the 3 offices. It can be reasoned out as follows:
--------------
There are 3 choices for president. Once a president is chosen,
there are 2 members left, so there are 2 ways to fill the office
of vice president. Then there is 1 member left to fill
the office of secretary.

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