hi there..

i just learnt about some simple group theory

would like to seek for answer on some questions i have on the symmetric group ( had questions about it on exercise but was not formally taught)..

what exactly is a symmetric group?

can anyone help give an example of the bijection in a symmetric group?

is it supposed to be a function?

explain and proof maybe why a symmetric group has order n! ?

and if possible provide any references for beginners?

Thank you very much...