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Permutations and Combinations

Let A = 1, 2,...

Question

Let A = {1, 2, 3, 4} and P(A) is power set ofA.
$I n t h e l a t t i c e [P (A); \subseteq] .$
If B is any subset of A then the complement of B is

A

A \cap ¯ ¯¯ ¯ B

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B

¯ ¯¯ ¯ A \cap B

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C

¯ ¯¯ ¯ A \cap ¯ ¯¯ ¯ B

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D

A \cap B

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Solution

The correct option is A $A \cap ¯ ¯¯ ¯ B$
option (b)

The given lattice is a boolean algebra.

$C o m p l e m e n t o f B = A - B = A \cap ¯ ¯¯ ¯ B$ .

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