Himadri's Book Boxes
To finalize packing for his move, Himadri has 5 textbooks (in the subjects of math, chemistry, physics, computer science, and biology) that he has to pack up. He has three boxes which are not full - a red box, a blue box and a green box. Himadri is going to pack the 5 books into these 3 boxes. How many different ways can Himadri choose which boxes the books go into?
Details and assumptions
The order that the books are placed into the box doesn't matter. It only matters which books are in which boxes.
Each box can accommodate up to 5 books.
Himadri might choose to not put any books into one or more of the boxes, but each book must go into a box.