Question 1167289
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A club has 20 members. In how many ways could an executive committee consisting of a president, 
vice president, secretary, membership director, and treasurer be named? Show two methods.
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There are 20 options (possible outcomes) for the president position;

then 19 options for the vice-president position;

then 18 options for the secretary position;

then 17 options for the membership director position;

then 16 options for the treasurer position.


In all, it gives  20*19*18*17*16 = 1860480 different outcomes of possible elections.


Interesting, that you can start from any position and drive your reasoning 
in any different order from position to position, but your final answer will be 
the same invariant value independently on the order in which you consider the positions.
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Solved.