Que: Let R₁ be a relation from A = {1, 3, 5, 7} to B = {2, 4, 6, 8} and R₂ be another relation from B to C = {1, 2, 3, 4} as defined below: i. An element a in A is related to an element b in B (under R₁) if a * b is divisible by 3. ii. An element a in B is related to an element b in C (under R₂) if a * b is even but not divisible by 3. Which is the composite relation R₁R₂ from A to C?

a. R₁R₂ = {(1, 2), (1, 4), (3, 3), (5, 4), (5,6), (7, 3)}
b. Φ
c. R₁R₂ = {(1, 2), (1,6), (3, 2), (3, 4), (5, 4), (7, 2)}
d. R₁R₂ = {(2,2), (3, 2), (3, 4), (5, 1), (5, 3), (7, 1)}
Answer: Φ

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