how many possible combinations of 3 numbers 1-3

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Nature

The number of possible combinations of 3 numbers chosen from 1 to 3, where order does not matter and repetition is not allowed, is 1. This is because the only combination is {1, 2, 3} itself since it's the entire set. However, if one considers all possible 3-digit numbers formed by digits 1 to 3 where repetition is allowed and order matters (i.e., permutations with repetition), then the number of such combinations is 33=273^3=2733=27.

Summary:

  • Combinations of 3 numbers from {1,2,3} without repetition (order does not matter): 1
  • Permutations of length 3 from {1,2,3} with repetition allowed (order matters): 27

So depending on the interpretation of "combinations":

  • If strict combinations (no order, no repetition): 1
  • If all 3-digit sequences (order matters, repetition allowed): 27