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Permutation vs. combination vs arrangement

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Permutation vs. combination vs arrangement [#permalink] New post 23 Jan 2009, 14:45
can someone please give me an example repeated with slight changes that would illustrate the following?
1-a case when arrangement is used
2- a case when permutation is used
3- a case when combination is used.

I'm just having trouble understand when to use either when i read a problem and it's really confusing.

Thanks
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Re: Permutation vs. combination vs arrangement [#permalink] New post 27 Jan 2009, 09:27
can someone please give me an example repeated with slight changes that would illustrate the following?
1-a case when arrangement is used
2- a case when permutation is used
3- a case when combination is used.

I'm just having trouble understand when to use either when i read a problem and it's really confusing.

Thanks


Permutation means arrangement of things. The word arrangement is used, if the order of things is considered.

so 1 and 2 are same:)
Combination means selection of things. The word selection is used, when the order of things has no importance.

Suppose we have to form a number consisting of three digits using the digits 1,2,3,4, To form this number the digits have to be arranged. Different numbers will get formed depending upon the order in which we arrange the digits. This is an example of Permutation.

Now suppose that we have to make a team of 11 players out of 20 players, This is an example of combination, because the order of players in the team will not result in a change in the team. No matter in which order we list out the players the team will remain the same! For a different team to be formed at least one player will have to be changed.

hope it is clear now



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Re: Permutation vs. combination vs arrangement   [#permalink] 27 Jan 2009, 09:27
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