Question

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Define permutation ??​

Answer 1

Answer:

Each of the different arrangements which can be made by taking some or all the given objects is called Permutation. Permutation of objects means arrangement of objects in which order of objects is taken in account.

Suppose one book each of Mathematics, English and Science are to be arranged on a book shelf, then following six arrangements are possible.

They are,

MES → Arrangement 1

MSE → Arrangement 2

SME → Arrangement 3

SEM → Arrangement 4

EMS → Arrangement 5

ESM → Arrangement 6

Here, M stand for Mathematics book, E stand for English book and S stand for Science book.

You can observe that changing in the order of a book will result to a new arrangement.

Example:

Six arrangements can be made with three books taken two at a time.

MS, SM, ME, EM, ES and SE

Each of the different groups of selections made by taking some or all the given objects at a time is called Combination. Combination is an arrangement of objects in which the order of objects does not matter.

Example:

The groups that can be made with three different books taking two at a time is

MS, SE and EM

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Answer 2

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PERMUTATION: It may be defined as the any of the different way in which a set of things can be represented.

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