In this case ORDER MATTERS (Being picked as president is not equal to be picked as vice president, and so on), hence we have to use the permutation of 4 people out of 5.
5P4.
However, the two treasurers have equal importance as being selected as the first treasurer do not give you more importance than being the second treasurer.
Thus we remove this repetition:
5P4/2C1 = 5*4*3 = 60
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