पूर्णांकों के समुच्चय Z पर एक संबंध R इस प्रकार परिभाषित है कि R = {(a, b) | (a - b) = km, जहाँ m एक निश्चित पूर्णांक है और k ∈ Z}। संबंध R कैसा है?

If A = {1, 2} and B = {a, b}, what is the total number of possible relations from set A to set B?

Let R be a relation on the set N of natural numbers defined by R = {(x, y) : x, y ∈ N and x = y3}. Which of the following statements is/are correct? I. R is a symmetric relation II. R is a transitive relation