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Direction Cosines

If set A and ...

Question

If set A and set B are two subsets of universal set of set U and n(A) = 40 , n(B) = 30 , n(A intersection B) = 10 then what is the value of n(A' intersection B') ?

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Solution

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A

B

U

n (U) = 700, n (A) = 200, n (B) = 300

n (A \cap B) = 100

n (A^{'} \cap B^{'})

U

A

B

n (A) = 50, n (B) = 60, n (A \cap B) = 20

n (A^{'} \cap B^{'}) =

A

B

n (A) = 20, n (B) = 30

n (A \cup B) = 40

n (A \cap B)

U

A

B

n (A) = 50, n (B) = 60, n (A \cap B) = 20

n (A^{'} \cap B^{'}) =

If there are two sets A and B such that $n (¯ A \cap ¯ B) = n (A \cap B)$ . Universal set contains 'x' elements. Then n (A) + n (B) is

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