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GATE | CS | 2023 | Discrete Maths | Group Theory | Question 50
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Let X be a set and 2X denote the powerset of X. Define a binary operation Δ on 2X as follows:
AΔB = (A − B) ∪ (B − A) Let H = (2X, Δ).
Which of the following statements about H is/are correct?
H is a group.
Every element in H has an inverse, but H is NOT a group.
For every A ∈ 2X, the inverse of A is the complement of A.
For every A ∈ 2X, the inverse of A is A.
This question is part of this quiz :
GATE CSE 2023,Set Theory in Discrete Mathematics Quiz,Discrete mathematics PYQ GATE QUIZShare your thoughts in the comments
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