Q. 45.0( 2 Votes )

If A = {a, b, c}

Answer :

Formula:-


(I)A function is one-one function or an injection if


f(x)=f(y)


x=y for all x, y A


or f(x)f(y)


xy for all x, y A


(II)if A and B are two non-empty finite sets containing m and n


(i) Number of function from A to B = nm


(ii) Number of one–one function from A to B


(iii) Number of one-one and onto function from A to B


(iv) Number of onto function from A to B=


Let f: AB be one-one function


F(a)=3 and f(B)=5


Using formula


Number of one–one function from A to B


3C5.5!=60


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 :

| Let * be a binaMathematics - Board Papers

Find the idMathematics - Board Papers

Let f : A Mathematics - Exemplar

Show that the binMathematics - Board Papers

Determine whetherRD Sharma - Volume 1

Fill in theMathematics - Exemplar