23)Let A = (1, 2) and B = (3, 4). Find the number of relations from A to B.correct answer by step by step
Solutíon We have.
AXB= {1, 3). (1,4), (2, 3), (2, 4)}.
Since n (AXB )= 4, the number of subsets of AXB is 2*. Therefore. the number of.
relations from A into B will be 2 raise to 4
Remark A relation R from A to A is also stated as a relation on A.
Let A = (1, 2) and B = (3, 4). Find the number of relations from A to B.
Let R ⊆ {1, 2, 3, 4} × {1, 2, 3, 4} be the relation R = {(1, 3),(1, 4),(2, 2),(2, 4),(3, 1),(3, 2),(4, 4)}. (a) Compute R −1 . (b) Compute the relations R ∪ R −1 and R ∩ R −1 , and check that they are symmetric. 7.1.3 Let RC 1,2,3,4) x 1,2,3,4) be the relation (a) Compute R-1 (b) Compute the relations RUR-1 and RnR-1, and check that they are symmetric.
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