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Earn +20 ptsQ: Is every permutation always a one-to-one function?
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Is it true that every function is a permutation if and only if it is one to one?
no
Every finite group is isomorphic to a permutation group?
yes form cayleys theorem . every group is isomorphic to groups of permutation and finite groups are not an exception.
Every permutation can be written as a product of transposition. How to prove or just apparently?
Prove it using deduction._______First you prove, that every permutation is a product of non-intercepting cycles, which are a prduct of transpsitions
Give an example of a permutation and combination?
If there is a group of 3 coloured balls, then any groups of 2 balls selected from it will be considered as a combination, whereas the different arrangements of every combination will be considered as a permutation
Is the relation a function?
Not every relation is a function. But every function is a relation. Function is just a part of relation.
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