Easy Math Class 12 Level 3

If A = {1, 2, 3} then how many total relations are possible on A?

यदि A = {1, 2, 3} हो तो A पर total relations की संख्या कितनी होगी?

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Correct Answer

C. 2^9

Explanation

Step 1: Identify the concept: this is number of relations. Step 2: If a set has n elements then A × A has n² elements and total relations are 2^(n²), here n=3 so 2^9. Step 3: For relation count remember n² first then power of 2.

Step 1: concept पहचानें: यह relations की संख्या है। Step 2: यदि set में n elements हैं तो A × A में n² elements होते हैं और total relations 2^(n²) होती हैं, यहां n=3 इसलिए 2^9। Step 3: Relation count के लिए पहले n² फिर power of 2 याद रखें।

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