Question
Download Solution PDFसमुच्चय A = {1, 2, 3, 4} के सभी उपसमुच्चयों पर विचार कीजिए। उनमें से कितने समुच्चय {4} के अधिसमुच्चय हैं?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
एक उचित उपसमुच्चय वह होता है जिसमें मूल समुच्चय के कुछ अवयव होते हैं।
एक अधिसमुच्चय वह होता है जिसमें मूल समुच्चय के अवयवों सहित सभी अवयव होते हैं।
गणना:
{1, 2, 3, 4} के अधिसमुच्चय और समुच्चय {4} के अधिसमुच्चय
{4}, {1, 4}, {2, 4}, {3, 4}, {1, 2, 4}, {2, 3, 4), (1, 3, 4}, {1, 2, 3, 4}
अत: समुच्चय {4} के 8 अधिसमुच्चय हैं।
∴ समुच्चय की अभीष्ट संख्या 8 है।
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