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Choice of three

Posted on 2011-10-28
Medium Priority
Last Modified: 2012-05-12
Lipid Fried Chicken offers a jumbo special with a choice of three side dishes from eight different side dishes on the menu. Assuming you must choose three different side dishes, how many different possibilities are there for your side dish selection?

The answer is C(8,3)

My question is why its a combination why not permutation ?

Question by:mustish1
  • 2
LVL 74

Expert Comment

ID: 37046357
because there is no ordering to the set of side dishes

chicken with fries, corn, slaw  is the same meal as chicken with corn, slaw, fries
LVL 74

Accepted Solution

sdstuber earned 2000 total points
ID: 37046376
your past several questions have mostly been about English wording and not really the math of it.

as I said in a previous question, there is no "system" for determining  permutation vs combination  based on English phraseology.

You just have to think about what is being asked.

if you rearrange letters, you get new words,  the ordering matters.
if you rearrange side dishes on your plate, you get the same meal, so ordering does not matter.

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