Question
Download Solution PDFयदि A = [2, 3] है, तो A × A × A की गणनीयता क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
गणनीयता: यह समूह में तत्वों की संख्या है।
गणना:
यहाँ, A = [2, 3]
A × A = [2, 3] × [2, 3] = [(2, 2), (2, 3), (3, 2), (3, 3)]
A × A × A= [2, 3] × [2, 3] × [2, 3] = [(2, 2), (2, 3), (3, 2), (3, 3)] × [2, 3]
= [(2, 2, 2), (2, 2, 3), (2, 3, 2), (2, 3, 3), (3, 2, 2), (3, 2, 3), (3, 3, 2), (3, 3, 3)]
इसलिए, n(A× A× A) = 8
इसलिए, गणनीयता = 8
अतः विकल्प (3) सही है।
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