anonymous
  • anonymous
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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misssunshinexxoxo
  • misssunshinexxoxo
C because a combination has multiple ways
misssunshinexxoxo
  • misssunshinexxoxo
A combination is a way of selecting several things out of a larger group, where order does not matter.
anonymous
  • anonymous
Thank you @misssunshinexxoxo :)

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anonymous
  • anonymous
That I knew, but I thought C and D were similar.
misssunshinexxoxo
  • misssunshinexxoxo
It's a LARGE group
anonymous
  • anonymous
Ah large. 3 is not large haha. thanks
misssunshinexxoxo
  • misssunshinexxoxo
D is smaller having 3 people verses the picture frames
misssunshinexxoxo
  • misssunshinexxoxo
Exactly!
Vocaloid
  • 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
  • misssunshinexxoxo
B really wouldn't be good because picture frames and paintings have multiple combinations
anonymous
  • anonymous
About B, I wasn't sure if it was that one or not because it says 'different' sets.
Vocaloid
  • 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
  • misssunshinexxoxo
A combination is a way of selecting several things out of a "larger group", where order does not matter.
Vocaloid
  • Vocaloid
remember: permutation: order matters combination: order doesn't matter
misssunshinexxoxo
  • misssunshinexxoxo
B ONLY allows 4 SETS to be chosen out of 20
anonymous
  • anonymous
That fact I got down. I just forgot about the 'large' group part.
Vocaloid
  • 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
  • Vocaloid
*the same 4 sets of towels
misssunshinexxoxo
  • misssunshinexxoxo
C is the larger group
Vocaloid
  • Vocaloid
group size has nothing to do with combination vs permutation
anonymous
  • anonymous
hmm...
Vocaloid
  • Vocaloid
well, maybe think about it this way: C and D are pretty much the same scenario with different numbers
anonymous
  • anonymous
Okay, that's what I thought as well.
Vocaloid
  • Vocaloid
alright, hopefully my explanation wasn't too confusing D:
anonymous
  • anonymous
Not too hard to follow, thanks :)
anonymous
  • 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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