Well, I know what it's not..
Which of the following is an example of a combination?
A. Selecting a first, second and third place winner at a beauty competition.
B. Picking 4 sets of towels out of 20 different sets.
C. The number of ways 12 picture frames can be arranged on a shelf.
D. The number of ways 3 people can sit on a couch.
___
I know it cannot be option A because it is an example of a permutation. As for the others though, I have no idea.

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- anonymous

- schrodinger

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- misssunshinexxoxo

C because a combination has multiple ways

- misssunshinexxoxo

A combination is a way of selecting several things out of a larger group, where order does not matter.

- anonymous

Thank you @misssunshinexxoxo :)

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- anonymous

That I knew, but I thought C and D were similar.

- misssunshinexxoxo

It's a LARGE group

- anonymous

Ah large. 3 is not large haha. thanks

- misssunshinexxoxo

D is smaller having 3 people verses the picture frames

- misssunshinexxoxo

Exactly!

- Vocaloid

actually, I think B would be the better answer
usually, when you arrange something in a row (like picture frames or people on a couch), the order matters

- misssunshinexxoxo

B really wouldn't be good because picture frames and paintings have multiple combinations

- anonymous

About B, I wasn't sure if it was that one or not because it says 'different' sets.

- Vocaloid

for example, if we have three people, Ally Betty and Cathy sitting on a couch, then if Ally Betty and Cathy sit in the order ABC, it's different than the order BCA or ACB

- misssunshinexxoxo

A combination is a way of selecting several things out of a "larger group", where order does not matter.

- Vocaloid

remember:
permutation: order matters
combination: order doesn't matter

- misssunshinexxoxo

B ONLY allows 4 SETS to be chosen out of 20

- anonymous

That fact I got down. I just forgot about the 'large' group part.

- Vocaloid

B is the better answer:
if I pick 4 sets of towels, picking ABCD is the same as BCDA because it's the same 4 towels

- Vocaloid

*the same 4 sets of towels

- misssunshinexxoxo

C is the larger group

- Vocaloid

group size has nothing to do with combination vs permutation

- anonymous

hmm...

- Vocaloid

well, maybe think about it this way:
C and D are pretty much the same scenario with different numbers

- anonymous

Okay, that's what I thought as well.

- Vocaloid

alright, hopefully my explanation wasn't too confusing D:

- anonymous

Not too hard to follow, thanks :)

- anonymous

I just don't know now because D is just a larger version of C.
And A says 'different' sets.

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