Expert Math Class 12 Level 1

How many reflexive relations are possible on a set of 8 elements?

8 तत्वों वाले set पर reflexive relations की संख्या कितनी है?

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Correct Answer

C. 72057594037927936

Explanation

Step 1: Identify the concept: reflexive relation. Step 2: A reflexive relation must contain 8 diagonal pairs. The remaining 56 pairs are free, so the count is 72057594037927936. Step 3: Exam tip: Fix diagonal pairs and count choices for the remaining pairs.

Step 1: अवधारणा reflexive relation है। Step 2: Reflexive relation में 8 diagonal pairs जरूरी होते हैं। बाकी 56 pairs free हैं, इसलिए संख्या 72057594037927936 है। Step 3: याद रखें: Diagonal pairs fixed रखें और बाकी pairs के लिए choices गिनें।

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