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On (A={1,2,3}), for (R={(1,2),(2,1),(2,3),(3,2)}), which pair will not belong to (R\circ R)?समुच्चय (A={1,2,3}) पर (R={(1,2),(2,1),(2,3),(3,2)}) का (R\circ R) में कौन सा युग्म नहीं होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ((1,2))((1,2))
Step 1: (1\to2\to1) gives ((1,1)), and (1\to2\to3) gives ((1,3)). Step 2: (3\to2\to1) gives ((3,1)). Step 3: There is no two-step chain from (1) to (2), so ((1,2)) is not in (R\circ R).चरण 1: (1\to2\to1) से ((1,1)) और (1\to2\to3) से ((1,3)) मिलता है। चरण 2: (3\to2\to1) से ((3,1)) भी मिलता है। चरण 3: (1) से (2) तक दो चरणों की शृंखला नहीं बनती, इसलिए ((1,2)) नहीं होगा।
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