Expert Math Class 12 Level 1

How many reflexive relations are possible on a set of 6 elements?

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

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Correct Answer

C. 1073741824

Explanation

Step 1: Identify the concept: reflexive relation. Step 2: A reflexive relation must contain 6 diagonal pairs. The remaining 30 pairs are free, so the count is 1073741824. 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 6 diagonal pairs जरूरी होते हैं। बाकी 30 pairs free हैं, इसलिए संख्या 1073741824 है। Step 3: याद रखें: Diagonal pairs fixed रखें और बाकी pairs के लिए choices गिनें।

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