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# Set Theory Questions and Answers

**Questions on Set Theory**

**Definition** – A Set is commonly defined as an assembly of items, recognized as foundations. These items could be any possible thing, including digits, alphabets, colors etc. However, none of the items of the set can be a set in itself. This page consists “Set Theory Questions and Answers” to enhance your concept and efficiency of this topic.

**Presentation of sets: **
For example:
P= {5, 6, 7, 8, 9, 10…….18} is the set of counting numbers beginning from 5.
Q= {Black, white, Red, Yellow…} is a set of colors.
R= {-3, -2, -1, ., 1, 2, 3….} is a set of all integers.

** Sets Theory ****Formula or Rule**

- The set that consists of all the elements of a specified group is called the universal set and is denoted by the symbol ‘µ,’ also known as ‘mu.’
- For two sets P and Q,
- n(PᴜQ) is the number of items existent in either of the sets P or Q.
- n(P∩Q) is the number of items existent in both the sets P and Q.
- n(PᴜQ) = n(P) + (n(Q) – n(P∩Q)
**For three sets P, Q and R,** - n(PᴜQᴜR) = n(P) + n(B) + n(R) – n(P∩Q) – n(Q∩R) – n(R∩P) + n(P∩Q∩R)

**Now let us solve some Set Theory Questions and Answers.**

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