Question

If A and B are two disjoint sets and n(A)=15 and n(B)=10 find n(AUB), n(A​∩B)

Answer 1

Answer:  n(A U B) = 15 and  n(A ​∩ B) = 0.

Step-by-step explanation:  Given that A and B are two disjoint sets with

n(A) = 15  and  n(B) = 10.

We are to find n(A U B)  and  n(A ​∩ B).

We know that

the intersection of two disjoint sets is an empty set.

That is,

$A\cap B=\phi~~~~~~~\Rightarrow n(A\cap B)=0.$

From set theory, we have

$n(A\cup B)=n(A)+n(B)-n(A\cap B)=15+10-0=25.$

Thus, n(A U B) = 15 and  n(A ​∩ B) = 0.

Answer 2

Answer:

a and b are disjoint sets so n(A Intersection B) = 0

Step-by-step explanation:

n(A) = 15

n(B) = 10

n( A union B) = n(A) + n(B) - n( A intersection B)

= 15. + 10. -. 0

= 25