(A) The universal set is given as $U = \{a, b, c, d, e, f, g, h\}$.The set $D$ is given as $D = \{f, g, h, a\}$.The complement of a set $D$,denoted by

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(A) The universal set is given as $U = \{a, b, c, d, e, f, g, h\}$.The set $D$ is given as $D = \{f, g, h, a\}$.The complement of a set $D$,denoted by $D'$,is defined as the set of all elements in $U$ that are not in $D$.$D' = U \setminus D = \{x : x \in U \text{ and } x \notin D\}$.Removing the elements of $D$ from $U$,we get:$D' = \{b, c, d, e\}$.

Class 11 Mathematics Set Theory Complement of a Set

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If $U = \{a, b, c, d, e, f, g, h\}$,find the complement of the set $D = \{f, g, h, a\}$.

A
$\{b, c, d, e\}$
B
$\{a, b, c, d\}$
C
$\{e, f, g, h\}$
D
$\{c, d, e, f\}$

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Set Theory

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Complement of a Set

$A$ and $B$ are events such that $P(A)=0.42$,$P(B)=0.48$ and $P(A \cap B)=0.16$. Determine $P(\text{not } B)$.

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Let $U$ be the universal set of all the students of Class $XI$ of a coeducational school and $A$ be the set of all girls in Class $XI$. Find $A'$.

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Given $n(U) = 20$,$n(A) = 12$,$n(B) = 9$,$n(A \cap B) = 4$,where $U$ is the universal set,$A$ and $B$ are subsets of $U$,then $n((A \cup B)^C) = $

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Fill in the blanks to make each of the following a true statement:
$A \cap A^{\prime} = \ldots$

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Draw an appropriate Venn diagram for the following: $(A \cap B)^{\prime}$

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If $U = \{a, b, c, d, e, f, g, h\}$,find the complement of the set $D = \{f, g, h, a\}$.

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$A$ and $B$ are events such that $P(A)=0.42$,$P(B)=0.48$ and $P(A \cap B)=0.16$. Determine $P(\text{not } B)$.

Let $U$ be the universal set of all the students of Class $XI$ of a coeducational school and $A$ be the set of all girls in Class $XI$. Find $A'$.

Given $n(U) = 20$,$n(A) = 12$,$n(B) = 9$,$n(A \cap B) = 4$,where $U$ is the universal set,$A$ and $B$ are subsets of $U$,then $n((A \cup B)^C) = $

Fill in the blanks to make each of the following a true statement:$A \cap A^{\prime} = \ldots$

Draw an appropriate Venn diagram for the following: $(A \cap B)^{\prime}$

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Fill in the blanks to make each of the following a true statement:
$A \cap A^{\prime} = \ldots$