Question 686400
<pre>
We can choose any one of the 8 people to be the
president.

That leaves 7 people to choose one out of to be the 
vice president.  

So for each of the 8 ways we can choose the president,
there are 7 ways we can choose the vice president.  

Therefore there are 8×7 or 56 ways we can choose the 
president and the vice president.

That leaves 6 people to choose one out of to be the 
treasurer.

So for each of the 8×7 or 56 ways we can choose the president
and the vice president, there are 6 people from whom we can 
choose to be the treasurer.  

Therefore there are 8×7×6 or 336 ways we can choose the 
president,the vice president, and the treasurer.  

That's the number of permutations of 8 things taken 3 at a
time.  ORDER MATTERS because president, vice-President,
and secretary are ordered by rank.

P(8,3) = 8×7×6 = 336

Edwin</pre>