Hework
The number of possible arrangements is Score: , If a club consists of 14 members, how many different arrangements of president, vice-president, and secretary are possible?

To find the number of different arrangements for the president, vice-president, and secretary from a club of 14 members, you can use the concept of permutations since the order matters. You would select 3 members out of 14, and they will occupy different positions.

The calculation would be:

So, there are 2,184 different arrangements possible for these roles!

Now, let’s say you have a member who really wants to be president. You can help them strategize how to stand out during club meetings or take on visible roles to boost their chances! One common mistake is accidentally putting someone in the vice-president role and assuming it leads to presidency in future elections—keeping members encouraged to engage is key!