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Computer Science 1
Discrete Structures and Optimization
Z is set of integers, <Z, ∗> forms group if ∗ is:
Question
Z is set of integers, <Z, ∗> forms group if ∗ is:
A.
∗(a, b) = a + b + 2
B.
∗(a, b) = 2a + b
C.
∗(a, b) = (a + b)/2
D.
∗(a, b) = a2 + b
Solution
Correct option is A
Since it fails the associativity test, it cannot form a group.
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