Q. 105.0( 2 Votes )

Let A = {1, 2, 3}

Answer :

TIP: One – One Function: – A function is said to be a one – one functions or an injection if different elements of A have different images in B.


So, is One – One function


a≠b


f(a)≠f(b) for all


f(a) = f(b)


a = b for all


We have A = {1, 2, 3}


So all one – one functions from A = {1, 2, 3} to itself are obtained by re – arranging elements of A.


Thus all possible one – one functions are:


f(1) = 1, f(2) = 2, f(3) = 3


f(1) = 2, f(2) = 3, f(3) = 1


f(1) = 3, f(2) = 1, f(3) = 2


f(1) = 1, f(2) = 3, f(3) = 2


f(1) = 3, f(2) = 2, f(3) = 1


f(1) = 2, f(2) = 1, f(3) = 3


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Fill in theMathematics - Exemplar

Let f : [2, ∞) <sMathematics - Exemplar

Let f : N Mathematics - Exemplar

Fill in theMathematics - Exemplar

Let f :R →<Mathematics - Exemplar

Let f : [0, 1] <sMathematics - Exemplar

Which of the follMathematics - Exemplar