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Equivalence Relation

let x=1, 2,3,...

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let x={1, 2,3,4,5}.the no. of different ordered pairs (y, z) that can be formed such that y is subset of x, z is subset of x and y intersection z is empty is

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Q. Let X = {1, 2, 3, 4, 5, 6}. The number of ways of different ordered pairs (A, B) that can be formed such that A and B are subsets of X and

A \cap B = φ

X = {1, 2, 3, 4, 5}

. The number of different ordered pairs

(Y, Z)

that can be formed such that

Y \subseteq X, Z \subseteq X

Y \cap Z

Q. Let x= {1, 2, 3, 4, 5} The number of different ordered pairs (y, z) that can be formed such ordered pairs (y , z) that can be formed such that

y ⊑ x, z ⊑ x

y \cap z

A

B

be two non-empty subsets of set

X

A

is not a subset of

B

, then which of the following is always true?

X = {1, 2, 3, 4, 5}

. The number of different ordered pairs

(Y, Z)

that can be formed such that

Y \subseteq X, Z \subseteq X

Y \cap Z

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