Let `A={1,2,3},\ B={a , b , c , d}` be two sets and let `R={(1, a),\ (1, c),\ (2, d),(2, c)}` be a relation from A to B. Then `R^(-1)={(a ,1),\ (c ,1),\ (d ,2),\ (c ,2)}` is a relation from B to A.

Let A = {1, 2, 3}, B = {2, 4} and R = {(1, 2), (2, 2), (2, 4), (3, 4)}. Is a relation from A to B ?

Let A = {a_(1), b_(1), c_(1)} , B = {r, t}. Find the number of relations from A to B.

Let R={(a ,\ a),\ (b ,\ b),\ (c ,\ c),\ (a ,\ b)} be a relation on set A={a ,\ b ,\ c} . Then, R is (a) identity relation (b) reflexive (c) symmetric (d) equivalence

Let A and B be two sets such that n(A)=5\ a n d\ n(B)=2,\ if\ a ,\ b ,\ c ,\ d ,\ e are distinct and (a ,2),\ (b ,3),\ (c ,2),\ (d ,3),\ (e ,2) are in AxxB , find A and B.

If A = {a, b, c, d} and B = {1, 2, 3}, then which of the following is not a relation from A to B?

Let A={a,b,c} and B={1,2} . Consider a relation R defined from st A to set B. Then R can equal to set

Let A={1,\ 2,\ 3} and R={(1,\ 2),\ (2,\ 3),\ (1,\ 3)} be a relation on A . Then, R is (a)neither reflexive nor transitive (b)neither symmetric nor transitive (c) transitive (d) none of these

Let A={a,b,c,d} and f :A->A be given by f={(a,b),(b,d),(c,a),(d,c)} , write f^(-1)

Three relations R_1, R_2a n dR_3 are defined on set A={a , b , c} as follow: R_1={(a , a),(a , b),(a , c),(b , b),(b , c),(c , a),(c , b),(c , c)} R_2={(a , b),(b , a),(a , c),(c , a)} R_3={(a , b),(b , c),(c , a)} Find whether each of R_1, R_2,R_3 is reflexive, symmetric and transitive.

Three relations R_1, R_2a n dR_3 are defined on set A={a , b , c} as follow: R_1={(a , a),(a , b),(a , c),(b , b),(b , c),(c , a),(c , b),(c , c)} R_2={(a , b),(b , a),(a , c),(c , a)} R_3={(a , b),(b , c),(c , a)} Find whether each of R_1, R_2,R_3 is reflexive, symmetric and transitive.