1 1 vote closed as a duplicate of: GATE CSE 2023 | Question: 41 Let $x$ be a set, $2^x=$ power $2 \mathrm{k}$ set of $\mathrm{X}$. define A binary operation $\Delta$ on $2^x$ as $A \Delta B=(A-B) \cup(B-A)$. Let $H=\left(2^x, \Delta\right)$, then for every $A \in 2^x$; inverse of $A$ is $\operatorname{not} A$. $\mathrm{H}$ is a group. $\mathrm{H}$ satisfies inverse prop, but not a group for every $A \in 2^x$; the inverse of $A$ is $A$. Set Theory & Algebra memorybased-gatecse2023 goclasses set-theory&algebra group-theory multiple-selects + – GO Classes 1.4k views comment Share Follow Print 0 reply Please log in or register to add a comment.
0 0 votes Detailed Video Solution: Group Theory Question $\color{\red}{\text{ALL Discrete Mathematics Questions:}}$ Question 1: First Order Logic question, P(x) --> Q(x,y) Question 2: Greedy Graph Coloring Algorithm Question 3: Permutation question, Separating Permutations of A,B Question 4: Equivalence Classes, Surjective Function Question Deepak Poonia answered Feb 5, 2023 Deepak Poonia comment Share Follow 0 reply Please log in or register to add a comment.