The difference between Combination and Permutation

When used as nouns, combination means the act of combining, the state of being combined or the result of combining, whereas permutation means one of the ways something exists, or the ways a set of objects can be ordered.


check bellow for the other definitions of Combination and Permutation

  1. Combination as a noun:

    The act of combining, the state of being combined or the result of combining.

  2. Combination as a noun:

    An object formed by combining.

  3. Combination as a noun:

    A sequence of numbers or letters used to open a combination lock.

  4. Combination as a noun (mathematics):

    One or more elements selected from a set without regard to the order of selection.

  5. Combination as a noun:

    An association or alliance of people for some common purpose.

  6. Combination as a noun (billiards):

    A combination shot; a billiard; a shot where the cue ball hits a ball that strikes another ball on the table.

  7. Combination as a noun:

    A motorcycle and sidecar.

  8. Combination as a noun:

    A rapid sequence of punches or strikes in boxing or other combat sports.

  1. Permutation as a noun:

    One of the ways something exists, or the ways a set of objects can be ordered.

    Examples:

    "Which permutation for completing our agenda items makes the most sense?"

  2. Permutation as a noun (mathematics):

    A one-to-one mapping from a finite set to itself.

    Examples:

    "This permutation takes each element to the one following it, with the last mapped back to the first."

  3. Permutation as a noun (mathematics, combinatorics):

    An ordering of a finite set of distinct elements.

    Examples:

    "There are six permutations of three elements, e.g. {abc, acb, bac, bca, cab, cba}."

  4. Permutation as a noun (music):

    A transformation of a set's prime form, by applying one or more of certain operations, specifically, transposition, inversion, and retrograde.