Question 1169804
6*5*4=120 ways assuming nobody may hold more than one office.
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2 ways for the first, then 5 for the second and 4 for the third.  40 ways
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3*(5*4)=60 the three comes from the three possible offices he may hold
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3 ways they can hold two offices, 4 people left to take the third office, so 12 ways.