anonymous
  • anonymous
Determine whether the scenario below involves permutations or combinations. At a family gathering, 23 people are trying to fit into several cars. Your car holds 6 people. How many different groups of 6 could you take in your car?
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
order does not matter, so combination. it doesn't matter what order they get in to the car.
anonymous
  • anonymous
Oh so if the order matters the its permutations?
anonymous
  • anonymous
now i bet it is clear how to get \[\dbinom{26}{6}\] a rather large number.

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anonymous
  • anonymous
yes if order matters it is permutations. if order does not, combinations. so 'committees' etc always combinations.
anonymous
  • anonymous
of course you have to use common sense and determine for your self whether order matters or not. I failed to have that common sense on your first question about 'itineraries'. that was a permutation because traveling first to city A and then to city B is counted differently from first B and then A.
anonymous
  • anonymous
Okay , this makes sense . Its okay, Im just glad that I know now thx
anonymous
  • anonymous
welcome

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