If nA-3- nB-6 and A- B- Then the number of elements in A- B is equal to-

Explanation of the correct optionGiven: n(A)=3, n(B)=6,A⊆ B.Since, A⊆ B, it means all the terms of A are present in the B.Thus, (A∪ B)=B⇒ n(A∪ B)=n(B)⇒n(A∪ B)=6 ...

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Byju's Answer

Standard XII

Mathematics

Intersection of Sets

If nA=3, nB=6...

Question

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

$3$
$9$
$6$
None of these.

$3$

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$9$

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$6$

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None of these.

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Solution

The correct option is C
$6$

Explanation of the correct option
Given: $n (A) = 3, n (B) = 6,$ $A \subseteq B$ .
Since, $A \subseteq B$ , it means all the terms of $A$ are present in the $B$ .
Thus, $(A \cup B) = B$
$\Rightarrow$ $n (A \cup B) = n (B)$
$\Rightarrow$ $n (A \cup B) = 6$
Therefore, the number of elements in $A \cup B$ is $6$ .
Hence option(C) that is $6$ is the correct option.

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Similar questions

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

Q. If sets A and B have

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Q. Q.6. If n(A) = 3, n(B) = 6 and

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(2) 7
(3) 5
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Q. ifA has 3 and B has 6 elements then what is the minimum number of elements in A∪ B??

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If n(A)=3, n(B)=6 and A⊆B. Then the number of elements in A∪B is equal to. 396None of these.

The correct option is C6 Explanation of the correct optionGiven: n(A)=3, n(B)=6, A⊆B.Since, A⊆B, it means all the terms of A are present in the B.Thus, A∪B=B⇒ nA∪B=nB⇒nA∪B=6Therefore, the number of elements in A∪B is 6.Hence option(C) that is 6 is the correct option.

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

$3$
$9$
$6$
None of these.