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Consider the following relations on {1, 2, 3, 4}. What of the following relations are reflexive? (A) R1=R_1 =R1​=​ {(1, 1), (1, 2), (2, 1), (2,
Question



Consider the following relations on {1, 2, 3, 4}. What of the following relations are reflexive?
(A) R1=R_1 =​ {(1, 1), (1, 2), (2, 1), (2, 2), (3, 4), (4, 1), (4, 4)}
(B) R2=R_2 =​ {(1, 1), (1, 2), (2 1)}
(C) R3=R_3 =​ {(1, 1), (1, 2), (1, 4), (2, 1), (2, 2), (3, 3) (4, 1), (4, 4)}
(D) R4=R_4 =​ {(2, 1), (3, 1), (3, 2) (4, 1), (4, 2), (4, 3)}
(E) R5=R_5 =​ {(1, 1), (1, 2), (1, 3), (1, 4), (2 2), (2, 3), (2, 4), (3, 3) (3, 4), (4, 4)}
Choose the correct answer from the options given below:

A.

(A), (B) and (C) Only

B.

(A), (D) and (E) Only

C.

(D) and (E) Only

D.

(C) and (E) Only

Correct option is D

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