If M - N - n M - N -18 and n N -13- then n M isA- 5B- 18C- 0D- 13

The correct option is A 5 Given that, M ∩ N = ∅ nbsp; ⇒ n(M ∩ N) = 0 ⇒ Sets M and N are disjoint, i.e. there are no common elements. nbsp;n(M ∪ N) = 18 and ...

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Byju's Answer

Standard VII

Mathematics

Cardinality of Sets

If M ∩ N =∅, ...

Question

If $M \cap N = \emptyset, n (M \cup N) = 18 and n (N) = 13$ , then $n (M)$ is _____ .

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Solution

The correct option is D
5

Given that,

$M \cap N = \emptyset$
$\Rightarrow n (M \cap N) = 0$

$\Rightarrow$ Sets M and N are disjoint, i.e. there are no common elements.

$n (M \cup N) = 18 a n d n (N) = 13$

$\Rightarrow n (M) = n (M \cup N) - n (N)$

$\Rightarrow n (M) = 18 - 13 = 5$

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If M∩N=∅, n(M∪N)=18 and n(N)=13, then n(M) is _____ .

The correct option is D 5 Given that, M∩N=∅ ⇒n(M∩N)=0 ⇒ Sets M and N are disjoint, i.e. there are no common elements. n(M∪N)=18 and n(N)=13 ⇒n(M)=n(M∪N)−n(N) ⇒n(M)=18−13=5

If $M \cap N = \emptyset, n (M \cup N) = 18 and n (N) = 13$ , then $n (M)$ is _____ .

The correct option is D
5

Given that,

$M \cap N = \emptyset$
$\Rightarrow n (M \cap N) = 0$

$\Rightarrow$ Sets M and N are disjoint, i.e. there are no common elements.

$n (M \cup N) = 18 a n d n (N) = 13$

$\Rightarrow n (M) = n (M \cup N) - n (N)$

$\Rightarrow n (M) = 18 - 13 = 5$