Answer:
2730 different selections
Step-by-step explanation:
This problem is solved using permutations: it is similar to combination, but the order of each element matters (if person A is president, person B is vice and person C is treasurer, this is a different case from a case where person A is vice, person B is treasurer and person C is president)
The formula of permutation is:
P = n!/(n-p)!
where n is the total number of members in this case (15), and p is the number of different positions (3).
So, the number of different selections is:
P = 15!/12! = 15*14*13 = 2730 different selections
