Hello, Bilbo Baggins!
I'm throwing a big BBQ in my backyard, and I need some help gathering foodstuffs.
By my calculations, I will need 8 tubs of ice cream to feed everyone for dessert,
and I send you to the supermarket to purchase some.
Coincidentally, the supermarket sells exactly 8 different flavors and has an abundance of each.
If my only instructions are for you to return with exactly 8 tubs,
i.e. I don't care if you repeat flavors at the sacrificing of others,
with how many different groupings can you possibly return?
For each purchase, you have 8 choices of flavors.
Since you make 8 such decisions, there are: . possible outcomes.