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First of all, does order matter? Does it matter what order you do these chores in?
If order does not matter, use a combination! When order matters, use a permutation.
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it's easier if I explain it this way
You have 6 chores to start with, you do any one of them, then you have 5 chores. you do another one of them, then you have 4 chores. The whole way down you can also do them in any order so it ends up being:
6! = 720 total ways.
That's actually a permutation, but I'm trying to figure out why order matters then...
I think it's because the chores themselves are different. Like taking out the trash in NOT the same as washing the dishes.
If it was just one chore, like wash the dishes 6 times it would be a combination. Your two numbers would be 6. 6 C 6 = 1. There's only 1 way you can do all the chores because they're the same.
Hope that made sense! Just remember, if order matters use a permutation, if order does not matter, then use a combination.