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On (A={1,2,3}), how many reflexive relations with exactly 4 pairs are possible?(A={1,2,3}) पर ठीक 4 युग्मों वाले कितने परावर्ती संबंध हो सकते हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 66
Step 1: The 3 self-pairs are compulsory. Step 2: To have exactly 4 pairs, choose 1 pair from the 6 non-diagonal pairs. Step 3: The number is (\binom{6}{1}=6).चरण 1: 3 अपने-अपने युग्म अनिवार्य हैं। चरण 2: कुल 4 युग्म चाहिए, इसलिए 6 गैर-विकर्ण युग्मों में से 1 युग्म चुनना होगा। चरण 3: संख्या (\binom{6}{1}=6) होगी।
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