Question

A? ________ is an arrangement of r objects chosen from n distinct objects without repetition and without regard to order

Answer 1

If we do not care about order, then a combination is an arrangement of r objects chosen from n distinct objects. It can often be seen written as:

$^{n}C_r$ or $\left(\begin{array}{cc}n\\r\end{array}\right)$

Its factorial form is:

$^{n}C_r = \frac{n!}{r!(n - r)!}$

Answer 2

Such arrangement of "r" objects chosen from "n" distinct objects without any repetition is "Permutation".

• A group of variables or items arranged in what seems like a specific sequence. Set components as well as items have been organized or ordered in a sequential manner or straight order in this.

Let's take a example:

The formulae for permutation of "n" items for "r" object representation is as follows:

→ $P(n,r) = \frac{n!}{(n-r)!}$

Thus the above response is right.

Learn more about permutation here:

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