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February 23rd, 2009, 07:50 PM  #1 
Newbie Joined: Feb 2009 Posts: 2 Thanks: 0  Statistics: Permutation or Combination?
Don't solve these. Just specify whether they're Permutation or Combination. 1) If only 8 motorcycles can race at a time, how many different groups of competitors can be made up from 12 cyclists? My Answer: Combination  since it doesn't specify order of importance. 2) In how many ways can 12 motorcycles be lined up for a race? My Answer: Permutation  order will matter because we will arrange all motorcycles & want to find out all ways to order them. 3) The art director for a museum has eight paintings and only six spaces on the wall to hang paintings. How many ways can he arrange the eight paintings to fill the six spaces? My Answer: Combination  doesn't really specify the importance of order of paintings on the wall. 4) How many different groups of six paintings can be hung? My Answer: Permutation  order will matter because we need to track of the many ways a painting can be arranged. 5) How many possible ways could seven intramural baseball teams finish the season ranked according to their winning record? Combination  it doesn't matter who is ranked; thus there's no specific order for teams to be ranked. 6) How many possible ways could two trophies (for champion team & runnerup team) be awarded if there are seven teams? Permutation  order matters because trophies are specified for ranking high. Correct me where I'm wrong. Appreciate all the help I get from here. Again, I don't want answers to the problem: I would just like to see a Combination or Permutation labeled next to them (& if you can explain your answer that would help too). Thanks! 
February 27th, 2009, 10:39 AM  #2 
Senior Member Joined: Dec 2008 Posts: 251 Thanks: 0  Re: Statistics: Permutation or Combination?
1) Correct. 2) Correct. 3) I would say permutation, as 'arrange' suggests order. 4) Similarly, I would say combination, as 'group' doesn't imply order. 5) Here, I would say permutation, as 'ways of finishing' seems to imply ranking. 6) Correct. 

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