Despite the season being over I am still left puzzled over this problem.

The following questions are related to the popular Christmas song "The Twelve Days of Christmas".

We all know it's fairly simple to figure out the amount of presents found over the twelve days of Christmas. It is 364 presents.

How many ways did you find to solve for 364 presents?

Tough what about Twelve Days of Christmas? How many presents would we receive then?

And the toughest of them all THE nth day of Christmas? How on Earth are we supposed to explain and work out the nth day of Christmas?

Help needed.

Thanks!