This is a permutation because order does not matter, combinations are when order does matter. To determine how many unique combinations, permutations, there are for this problem, we need to use the "n choose k" formula:
p=n!/(k!(n-k)!), where n=number of elements to choose from, and k=number of choices made, in this case:
p=35!/(3!(35-3)!)
p=35!/(3!32!)
p=6545
So there are 6545 unique ways that a president, vice president, and secretary can be chosen from 35 members.