H=215t-16t2 Find All Values Of T For Which Th - Gauthmath

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Question

Physics Wallah Solved: If n(A)=3 and I= numbe; ChatGPT pw.live/study/batches/open-pdf Back Content of 26 > >I Automatic Zoom QUESTION [JEE Mains-2024] # DIBY-16 The number of symmetric relations defined on the set 1,2,3,4 which are not reflexive is_ . # DIBY-17 [Ans: 690] If n(A)=3 and l= number of Identity relations on set - A m= number of reflexive relations on set - A n= number of non-empty symmetric relations on set A p= number of transitive relations on set A Then value of (l+m)-(n+p) is_ [Ans: −169] Type here to search SENSEX +3.25% 03-06-2024 14:29 ENGSHOW LESS0

Solution

-65543.

Step 1: Calculate the number of reflexive relations on set A with 3 elements: m=23−23=0m = 2^3 - 2^3 = 0. Step 2: Calculate the number of non-empty symmetric relations on set A: n=23×4−23=65534n = 2^{3 \times 4} - 2^3 = 65534. Step 3: Calculate the number of transitive relations on set A: p=23×3=512p = 2^{3 \times 3} = 512. Step 4: Calculate (l+m)−(n+p)(l+m)-(n+p): (0+3)−(65534+512)=−65543(0+3)-(65534+512) = -65543.

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