Permutation | Multiplication of permutation | Bijective Mapping | DR Colleger

[@songsraima]

Fantastic, You explained it so easily sir, thank you

[@drcolleger]

Thank u

[@Apocalypseeeeeee]

The preceiving or assuming this way and claiming bijective mapping is called a permutation and so if this is true. Than here we can arbitrarily perceive in any way bijective mapping is called a permutation. Thus provided approach in this video is not clear and it does not give answers
(1) what makes bijective mapping on a non-empty finite set is a permutation
(2) why Bijective mapping f has to be the domain of mapping f = the co-domain of mapping f = a non-empty finite set to be a permutation.
(3) Bijective mapping f on a non-empty infinite set is permutation or not permutation. If permutation then provide reason? Or If not permutation then provide reason.
If this asked questions anyone here have it's answer than He/She will know everything about True Flow of Nature of a bijective mapping on non-empty finite or infinite set. Best of Luck .

[@drcolleger]

A permutation is a bijective mapping of a set onto itself.
Since bijective mapping is a transformation, such a beautiful form is notated to organize the record of the transformed element.
Then the set on which the permutation is defined can be finite or infinite
We studied permutation groups with infinite sets, symmetric groups with finite sets.
Thank U for watching..

[@drcolleger]

But if permutation is done with other mapping without bijective mapping then group will not form, then semi group will form.

[@sayansinhamahapara7279]

Apni kon college e poran sir?

[@drcolleger]

Thanks for watching

[@sayansinhamahapara7279]

I comment first.