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Transitive Relations

24 Consider t...

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24 Consider the set A={3,4,5} and the numbers of null relations, identity relations, universal relations, reflexive relations on A are respectively a, b, c, d then the value of a+b+c+d is?

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Q. Consider the set

A = 3, 4, 5

and the numbers of null relations, identity relation, universal relations, reflexive relations on

A

are respectively

n_{1}, n_{2}, n_{3}

n_{4}

then the value of

n_{1} + n_{2} + n_{3} + n_{4}

Q. State which of the following is total number of reflexive relations form set

A = {a, b, c}

B = {d, e}

N

denote the set of natural numbers and

R

be a relation on

N \times N

(a, b) R (c, d) ⟺ a d (b + c) = b c (a + d) .

N \times N, R

Q. Let R = {(a, a), (b, b), (c, c), (a, b)} be a relation on set A = a, b, c. Then, R is
(a) identify relation
(b) reflexive
(c) symmetric
(d) antisymmetric

Q. The number of reflexive relations in set

A = {a, b, c}

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