Question
Download Solution PDFयदि A = {x, y, z} तो A के घांत समुच्चय में उपसमुच्चयों की संख्या क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
एक समुच्चय A का घांत समुच्चय (या Powerset) स्वयं समुच्चय और शून्य या खाली समुच्चय सहित समुच्चय A के सभी उपसमुच्चयों के समुच्चय के रूप में परिभाषित किया गया है।
गणना:
दिया, A = {x, y, z}।
एक समुच्चय A का घांत समुच्चय (या Powerset) स्वयं समुच्चय और शून्य या खाली समुच्चय सहित समुच्चय A के सभी उपसमुच्चयों के समुच्चय के रूप में परिभाषित किया गया है।
A का घांत समुच्चय = {\(\rm \phi\),x, y, z, {x, y}, {y, z}, {x, z},{x, y, z}}
इसलिए, A के घांत समुच्चय में उपसमुच्चयों की संख्या 8 है।
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