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TIFR 2014 Problem 30 Solution is a part of TIFR entrance preparation series. The Tata Institute of Fundamental Research is India's premier institution for advanced research in Mathematics. The Institute runs a graduate programme leading to the award of Ph.D., Integrated M.Sc.-Ph.D. as well as M.Sc. degree in certain subjects.

The image is a front cover of a book named Topics in Algebra by I.N.Herstein. This book is very useful for the preparation of TIFR Entrance.

Also Visit: College Mathematics Program

How many maps are there satisfying , for all ?

Take .

By the given equation .

This means .

Oh! This means . was taken arbitrarily. So...

for all .

There is only one such map.

**What is this topic:**Algebra**What are some of the associated concept:**Number of Function**Book Suggestions:**Topics in Algebra by I.N.Herstein

TIFR 2014 Problem 30 Solution is a part of TIFR entrance preparation series. The Tata Institute of Fundamental Research is India's premier institution for advanced research in Mathematics. The Institute runs a graduate programme leading to the award of Ph.D., Integrated M.Sc.-Ph.D. as well as M.Sc. degree in certain subjects.

The image is a front cover of a book named Topics in Algebra by I.N.Herstein. This book is very useful for the preparation of TIFR Entrance.

Also Visit: College Mathematics Program

How many maps are there satisfying , for all ?

Take .

By the given equation .

This means .

Oh! This means . was taken arbitrarily. So...

for all .

There is only one such map.

**What is this topic:**Algebra**What are some of the associated concept:**Number of Function**Book Suggestions:**Topics in Algebra by I.N.Herstein

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