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If (A={1,2,3,4}), (B={p,q}), and (f(1)=p), (f(2)=q), (f(3)=p), (f(4)=q), what type is (f:A\to B)?यदि (A={1,2,3,4}), (B={p,q}) और (f(1)=p), (f(2)=q), (f(3)=p), (f(4)=q), तो (f:A\to B) कैसा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Ontoआच्छादक है
Step 1: The codomain (B) has elements (p) and (q). Step 2: Both (p) and (q) are obtained, so no codomain element is missed. Step 3: Onto does not require distinct preimages, only that every codomain element is hit.चरण 1: सहक्षेत्र (B) के सदस्य (p) और (q) हैं। चरण 2: (p) भी मिलता है और (q) भी मिलता है इसलिए कोई सदस्य छूटा नहीं। चरण 3: आच्छादकता के लिए अलग-अलग पूर्वप्रतिबिंब जरूरी नहीं बस हर सहक्षेत्र सदस्य मिलना चाहिए।
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