this is a multiplicative probability problem. I need more info though. Ill assume that the time spent in high school is irrelavent for now. Sum all the potential ellecties. 4+5+3=12. Now since you didnt specify how many offices there are to be filled ill assume you meant 4 (president, vicepresident, treasurer, secretary) and that one student can not take more than one position. The answer is 12*11*10*9=11880
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