18. How many ways are there to elect a President, Vice President, Secretary, and Treasurer, from a club with 32 members?

Step 1 ：This problem is about permutations. We have 32 members in a club and we need to choose 4 of them for different positions. The order in which we choose the members matters because the positions of President, Vice President, Secretary, and Treasurer are distinct.

Step 2 ：We can use the formula for permutations which is \(nPr = \frac{n!}{(n-r)!}\), where \(n\) is the total number of items, and \(r\) is the number of items to choose.

Step 3 ：Substitute \(n = 32\) and \(r = 4\) into the formula, we get \(nPr = \frac{32!}{(32-4)!}\).

Step 4 ：Calculate the above expression, we get \(nPr = 863040\).

Step 5 ：Final Answer: There are \(\boxed{863040}\) ways to elect a President, Vice President, Secretary, and Treasurer from a club with 32 members.