Question

What is permutations?​

Answer 1

Simplistically, a permutation is just the number of ways that we can arrange any number of objects in a set of things.

EXPLANATION:

Here's an example:

Suppose I have three objects A, B and C, and I want to arrange them in all possible ways.

Well, we could have

A B C

A C B

B A C

B C A

C A B

C B A

Note that this is just 6 ways.

In mathematics, we often express the number of possible arrangements of N objects as N!.. the "!" is known as a "factorial."

➥ In the above example, we have 3! ways of arrangement = 3*2*1 = 6.

➥ Then, the number of ways to arrange 4 objects in a set is just 4! = 4*3*2*1 = .24.

➥ And the number of ways to arrange 5 objects in a set is just 5! = 5*4*3*2*1 = .120. Etc.

Answer 2

Answer:

a way, especially one of several possible variations, in which a set or number of things can be ordered or arranged.

Explanation:

MATHEMATICS

the action of changing the arrangement, especially the linear order, of a set of items