What do you call an arrangement of things in a definite order?

When the elements of a set are arranged in a definite order, the arrangement is called a permutation of the elements.

What is called permutation?

A permutation, also called an “arrangement number” or “order,” is a rearrangement of the elements of an ordered list into a one-to-one correspondence with itself. The number of permutations on a set of elements is given by ( factorial; Uspensky 1937, p. 18).

What do you call the arrangement of objects in which the order or position does not matter?

If the order doesn’t matter then we have a combination, if the order do matter then we have a permutation. One could say that a permutation is an ordered combination. The number of permutations of n objects taken r at a time is determined by the following formula: P(n,r)=n!

What do you call the different arrangements of objects of a group?

permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor.

Is an arrangement with a specific order?

An arrangement is more general than an ordering: an arrangement of objects can be made in any way you like. Flowers can be arranged, but in general are not ordered. An ordering is a specified arrangement.

Is an arrangement of objects in a row?

An array is an arrangement of a set of objects, pictures, or numbers usually arranged in rows and columns.

What is order permutation?

We define the order of a permutation written as the product of disjoint cycles to be the least common multiple of the lengths of those cycles. So for , written as the product of disjoint cycles. Length of (1 4 5 7) = 4. Length of (2 6 3) = 3. Order of the permutation = lcm(4,3) = 12.

What do you call a permutation that the arrangement of objects is in circular pattern?

Circular permutation is the total number of ways in which n distinct objects can be arranged around a fix circle.

What is the different arrangement of objects where some of them are identical?

A permutation of a set of objects is an ordering of those objects. When some of those objects are identical, the situation is transformed into a problem about permutations with repetition.