Question
The set of all bijective functions from a finite set A
to itself forms:Solution
The set of all bijective functions (i.e., permutations ) from a finite set A to itself is known as the symmetric group on A, commonly denoted Sâ‚™ if A has n elements. This set forms a group under function composition because:
- Closure : Composition of two bijections is a bijection.
- Associativity : Function composition is associative.
- Identity element : The identity function (maps every element to itself) is a bijection and acts as the identity.
- Inverses : Every bijective function has an inverse, which is also a bijection.
Through LIC’s IPO, what percentage of stake did the Government of India sell?
Which DRDO developed anti tank missile is capable of being launched from helicopter?
Who among the following sportspersons was awarded the Chhattisgarh Veerni Award 2021?
Who among the following is the author of the book ‘The Anarchy: The Relentless Rise of the East India Company’?
___________ a Rashtrakuta chief overthrew his Chalukya overlord and performed a rimal called hiranya-garbha (literally, the golden womb).
In which year was The Reserve Bank of India was established?
The reign of Raja Krishnadev Raya is considered the golden age of which literary language?
What is the minimum threshold for Public Sector Banks (PSBs) to report fraud cases to the CBI’s Banking Security and Fraud Cell (BSFC)?
What percentage of the project cost is provided under the TREAD scheme by the Ministry of MSME? Â
Which of the following statements about nutrients are correct?
Statement A: C, H, O, N, P and K are macro nutrients.
Statement B: Fe, Mn, ...
Relevant for Exams:
