10. F3m-g 6n - Gauthmath

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

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