number of ordered partitions of integer How to evaluate the number of ordered partitions of the positive integer $ 5 $?
Thanks!

So $4+1$ is one example. $2+2+1$ is another


*

*What kinds of things add up to 5? (only numbers greater than or equal to 1 are used).

*What's the least number of numbers you can use? What's the greatest number?

*What if you rearrange the order of something you already have? Do you get something new (if you consider at as ordered)?

*Have you done it already for 1,2,3, and 4? You might be able to use those to help with 5.
