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Mathematics 20 Online
OpenStudy (anonymous):

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OpenStudy (blurbendy):

First of all, does order matter? Does it matter what order you do these chores in?

OpenStudy (blurbendy):

If order does not matter, use a combination! When order matters, use a permutation.

OpenStudy (blurbendy):

Count the number of chores you have to do.

OpenStudy (blurbendy):

it's easier if I explain it this way

OpenStudy (blurbendy):

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.

OpenStudy (blurbendy):

That's actually a permutation, but I'm trying to figure out why order matters then...

OpenStudy (blurbendy):

I think it's because the chores themselves are different. Like taking out the trash in NOT the same as washing the dishes.

OpenStudy (blurbendy):

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.

OpenStudy (blurbendy):

Hope that made sense! Just remember, if order matters use a permutation, if order does not matter, then use a combination.

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