Choice of three

Posted on 2011-10-28
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
    LVL 73

    Expert Comment

    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 73

    Accepted Solution

    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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