Question 1139225
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<U>ANSWER</U>.  In  25*24*23*22 = 303600 ways.


<U>Explanation</U>


25 opportunities to choose a President;


then 24 to chose a Vice-President among 24 remained persons;


then  23 opportunities to choose a Treasurer among 23 remained persons;


and finally 22 opportunities to choose a Secretary among 22 remained persons.
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It is a standard mantra to pronounce when you solve this kind of problems.