Permutation Problem! Help please!!

Shinzo-JP99

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May 14, 2021
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Perhaps it is my teacher's wording or my inability to understand, but I simply cannot comprehend what this question is asking. The question has two parts and reads like this:

"There are 30 dogs in the pet hotel. In how many different ways can 3 dog biscuits be arranged amongst them.

a) No dog can receive more than one biscuit

b) There is no limit to how many biscuits each dog may receive"

I simply do not know where to begin. I recall a formula for permutations, however, I do not know how to manipulate it to reflect these scenarios. This is quite annoying, as I understand combinations fluently, but the same cannot be said for permutations. Thank you so much for your help, I truly appreciate it!
 
(a) Presumably just give one biscuit out first (how many different dogs), then a second biscuit to the remaining dogs and then a third to the remaining dogs.
(b) Same as before + you can give 2 biscuits to one of the 30 dogs, then 1 biscuit to one of the remaining + you can give 3 biscuits to one of the dogs
 
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