The cardinality of a universal set, set A and set B are represented as n(U), n(A), n(B) respectively. Find the cardinality of the set which does not contain elements of set A and set B.

n(A^I B^I)

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n(A B)^I

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n(U) - n(A B)

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n(U) - n(A B)

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Solution

The correct option is D
n(U) - n(A B)

No of elements not in set A and not in set B is represented in set notation as A^I ∩ B^I.

So, n(A^I $\cap$ B^I) = n(A $\cup$ B)^I

= n(U) - n(A $\cup$ B)

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The cardinality of a universal set, set A and set B are represented as n(U), n(A), n(B) respectively. Find the cardinality of the set which does not contain elements of set A and set B.

The correct option is D n(U) - n(A B) No of elements not in set A and not in set B is represented in set notation as AI ∩ BI. So, n(AI ∩ BI) = n(A ∪ B)I = n(U) - n(A ∪ B)

The correct option is D
n(U) - n(A B)

No of elements not in set A and not in set B is represented in set notation as A^I ∩ B^I.

So, n(A^I $\cap$ B^I) = n(A $\cup$ B)^I

= n(U) - n(A $\cup$ B)