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Let A = {1, 2, 3}. Then number of equiva...

Let `A = {1, 2, 3}`. Then number of equivalence relations containing (1, 2) is (A) 1 (B) 2 (C) 3 (D) 4

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A= {1,2,3}
equivalence relation which includes (1,2)
` R_1 ={(1,1),(2,2),(3,3),(2,1),(1,2)}`
and `R_2 ={(1,1),(2,2),(3,3),(2,1),(1,2)(3,1),(1,2)}`
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NAGEEN PRAKASHAN ENGLISH-RELATIONS AND FUNCTIONS -Miscellaneous Exercise
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  9. Given a non -empty set X, let *:" "P(X)" "xx" "P(X) ->P(X) be defined ...

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  10. Find the number of all onto functions from the set A={1,\ 2,\ 3,\ ...

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  13. Given a non -empty set X, let *:" "P(X)" "xx" "P(X) ->P(X) be defined ...

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  16. Let A={1,\ 2,\ 3} . Then, the number of relations containing (1, 2) ...

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  17. Let A = {1, 2, 3}. Then number of equivalence relations containing (1...

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  18. Let f: R->Rbe the Signum Function defined as f(x)={1,x >0 0,x=0-1,x<1 ...

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