If n(A) = 3 and n(B) = 6 and A subseteq B . Then number of elements in A cap B is equal to

English

Gujarati

Hindi

1.Set Theory

easy

If $n(A) = 3$ and $n(B) = 6$ and $A \subseteq B$. Then the number of elements in $A \cap B$ is equal to

A

$3$

B

$9$

C

$6$

D

None of these

Solution

(a) Since $A \subseteq B,$ $\therefore$ $A \cap B = A$
$\therefore$ $n\,(A \cap B) = n(A) = 3$.

Standard 11

Mathematics

Share

Similar Questions

If the sets $A$ and $B$ are defined as $A = \{ (x,\,y):y = {e^x},\,x \in R\} $; $B = \{ (x,\,y):y = x,\,x \in R\} ,$ then

easy

If $A$ and $B$ are disjoint, then $n(A \cup B)$ is equal to

easy

If $A = \{x : x$ is a multiple of $4\}$ and $B = \{x : x$ is a multiple of $6\}$ then $A \cap B$ consists of all multiples of

medium

If the sets $A$ and $B$ are defined as $A = \{ (x,\,y):y = {1 \over x},\,0 \ne x \in R\} $ $B = \{ (x,y):y = – x,x \in R\} $, then

medium

Let $A = \{ (x,\,y):y = {e^x},\,x \in R\} $, $B = \{ (x,\,y):y = {e^{ – x}},\,x \in R\} .$ Then

medium