Permutations vs. Combinations What are the word modifiers in order to distinguish a given if it is a permutation or a combination? Or simply describe what is permutation and combination. 

"Permutation" vs. "Combination" is not about "choosing" or "not choosing". It's about whether the order matters or not. 
If order does not matter, it is a combinations problem.  If order does matter, it is a permutations problem.  
And there is also a difference between how you count and what you are counting.
Here's one interesting link. You can see.
