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Combinations of 3 elements at a time, in a group of 5?

Ivano Arrighetta
Posted 9 years ago

Hello there. I would like to know what are the possible combinations of 3 elements at a time, in a group of 5. What is the right commands to give to mathematica? Thanks in advance for any help.
POSTED BY: Ivano Arrighetta
5 Replies
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Thanks again. no, order doesn't matter.

POSTED BY: Ivano Arrighetta
David Keith
David Keith
Posted 9 years ago

You are welcome. Ivano. Mathematica is such a high-level language that procedural constructs are seldom needed, I also added the permutations, in case order matters.

POSTED BY: David Keith

Wow, was it that easy? Thanks. I have a lot to learn.

Have a nice day.

POSTED BY: Ivano Arrighetta

Nevermind, I found a way to do this.

Here it is:

bevande = {" caffe", " latte", " orzo", " cioccolata", " the"}
For[i = 1, i <= 5, i++,  For[j = i + 1, j <= 5, j++, For[k = j + 1, k <= 5, k++, Print[bevande[[i]], bevande[[j]], bevande[[k]]]] ]]

Thanks anyhow.
POSTED BY: Ivano Arrighetta
David Keith
David Keith
Posted 9 years ago 
In[8]:= bevande = {" caffe", " latte", " orzo", " cioccolata", " the"};

In[9]:= Subsets[bevande, {3}]

Out[9]= {{" caffe", " latte", " orzo"}, {" caffe", " latte", 
  " cioccolata"}, {" caffe", " latte", " the"}, {" caffe", " orzo", 
  " cioccolata"}, {" caffe", " orzo", " the"}, {" caffe", 
  " cioccolata", " the"}, {" latte", " orzo", 
  " cioccolata"}, {" latte", " orzo", " the"}, {" latte", 
  " cioccolata", " the"}, {" orzo", " cioccolata", " the"}}

In[10]:= Permutations[bevande, {3}]

Out[10]= {{" caffe", " latte", " orzo"}, {" caffe", " latte", 
  " cioccolata"}, {" caffe", " latte", " the"}, {" caffe", " orzo", 
  " latte"}, {" caffe", " orzo", " cioccolata"}, {" caffe", " orzo", 
  " the"}, {" caffe", " cioccolata", " latte"}, {" caffe", 
  " cioccolata", " orzo"}, {" caffe", " cioccolata", 
  " the"}, {" caffe", " the", " latte"}, {" caffe", " the", 
  " orzo"}, {" caffe", " the", " cioccolata"}, {" latte", " caffe", 
  " orzo"}, {" latte", " caffe", " cioccolata"}, {" latte", " caffe", 
  " the"}, {" latte", " orzo", " caffe"}, {" latte", " orzo", 
  " cioccolata"}, {" latte", " orzo", " the"}, {" latte", 
  " cioccolata", " caffe"}, {" latte", " cioccolata", 
  " orzo"}, {" latte", " cioccolata", " the"}, {" latte", " the", 
  " caffe"}, {" latte", " the", " orzo"}, {" latte", " the", 
  " cioccolata"}, {" orzo", " caffe", " latte"}, {" orzo", " caffe", 
  " cioccolata"}, {" orzo", " caffe", " the"}, {" orzo", " latte", 
  " caffe"}, {" orzo", " latte", " cioccolata"}, {" orzo", " latte", 
  " the"}, {" orzo", " cioccolata", " caffe"}, {" orzo", 
  " cioccolata", " latte"}, {" orzo", " cioccolata", 
  " the"}, {" orzo", " the", " caffe"}, {" orzo", " the", 
  " latte"}, {" orzo", " the", " cioccolata"}, {" cioccolata", 
  " caffe", " latte"}, {" cioccolata", " caffe", 
  " orzo"}, {" cioccolata", " caffe", " the"}, {" cioccolata", 
  " latte", " caffe"}, {" cioccolata", " latte", 
  " orzo"}, {" cioccolata", " latte", " the"}, {" cioccolata", 
  " orzo", " caffe"}, {" cioccolata", " orzo", 
  " latte"}, {" cioccolata", " orzo", " the"}, {" cioccolata", " the",
   " caffe"}, {" cioccolata", " the", " latte"}, {" cioccolata", 
  " the", " orzo"}, {" the", " caffe", " latte"}, {" the", " caffe", 
  " orzo"}, {" the", " caffe", " cioccolata"}, {" the", " latte", 
  " caffe"}, {" the", " latte", " orzo"}, {" the", " latte", 
  " cioccolata"}, {" the", " orzo", " caffe"}, {" the", " orzo", 
  " latte"}, {" the", " orzo", " cioccolata"}, {" the", " cioccolata",
   " caffe"}, {" the", " cioccolata", " latte"}, {" the", 
  " cioccolata", " orzo"}}
POSTED BY: David Keith
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