Question

For disjoint set A and B n(A)=3,n(B)=5, then n(A?5nB)is

Answer 1

Answer:

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Answer 2

Correct question: For two disjoint sets A and B, n(A)=3, n(B)=5, then n(A∪B)=?

Answer:

For the two disjoint sets A and B, n(A∪B)=8.

Given,

Two disjoint sets A and B have cardinalities 3 and 5 respectively.

To Find,

The cardinality of the set A∪B.

Solution,

The method of finding the cardinality of set A∪B is as follows.

We know that n(A∪B)=n(A)+n(B)-n(A∩B).

According to the question, A and B are two disjoint sets.

So n(A∩B) = 0.

Also, n(A)=3 and n(B)=5.

Then, n(A∪B)=n(A)+n(B)-n(A∩B) = 3+5-0 = 8.

Hence, for the two disjoint sets A and B, n(A∪B)= 8.

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