Q5Multiple correct4 Marks28 Apr 2024

Suppose $A = \{a, b, c, d\}$ and $B = \{p, q, r, s\}$ are two sets. Consider the following relations on $A \times B$: - $R_1 = \{(a, p), (c, r), (d, q)\}$ - $R_2 = \{(a, s), (b, s), (c, p), (d, r)\}$ - $R_3 = \{(a, p), (b, r), (b, s), (d, q)\}$ - $R_4 = \{(a, r), (b, p), (c, q), (d, s)\}$ Which of the following statements are correct?

A

$R_2, R_3,$ and $R_4$ are functions.

B

$R_2$ and $R_4$ are functions.

C

$R_2$ is an injective function.

D

$R_4$ is a bijective function.