Question

Let the set A is {1, 2, 3} and B is {2, 3, 4}. Then n( A U B) is​

Answer 1

Answer:

here your answer

Step-by-step explanation:

given,

A={1,2,3}  and  B={2,3,4}

n( A U B)=n(A) + n(B) - n( A ∩ B)                      ----- (1)

n(A) = number of elements in A = 3

n(B) = number of elements in B = 3

then,

A ∩ B = {2,3}

n( A ∩ B) = number of elements in A ∩ B = 2

substitute them in (1) we get,

n( A U B) = 3+3-2 = 4

∴n( A ∪ B) = 4

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Answer 2

the value of $n( A U B)$ is​ 4.

Step-by-step explanation:

Given:

Set A is $\{1, 2, 3\}.$

Set B is $\{2, 3, 4\}.$

To Find:

The value of  n( A U B).

Formula Used:

$n( A \cup B)=n(A) + n(B) - n( A \cap B)$   ----------- formula no.01.

Solution:

As given-Set A is $\{1, 2, 3\}.$

Number of elements in  Set A. $n(A)=3$

As given-Set B is $\{2, 3, 4\}.$

Number of elements in  Set B,  $n(B)=3$

Number of elements in $n(A \cap B) =2$

Applying formula no.01.

$n( A \cup B)=n(A) + n(B) - n( A \cap B)$

                $=3+3-2$

                $=4$

Thus,the value of $n( A U B)$ is​ 4.

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