Question

 If A and B are two sets such that n(A)=22, n(B)=18 and n(AUB)=35, then n(A intersection B) is
a.4
b.5
c.15
d.75​

Answer 1

Answer:

hii

Step-by-step explanation:

Given:

n(A)=20,  

n(A∪B)=42

n(A∩B)=4

(i)

n(A∪B)=n(A)+n(B)−n(A∩B)

42=20+n(B)−4

n(B)=42−20+4=26

(ii

n(A−B)=n(A)−n(A∩B)

n(A−B)=20−4=16

(iii

n(B−A)=n(B)−n(A∩B)

n(B−A)=26−4=22

PLZ MARK ME BRAINIST...................................................................

Answer 2

n( A ∩ B) = 5

Given :

A and B are two sets such that n(A) = 22 , n(B) = 18 and n( A ∪ B) = 35

To find :

The value of n( A ∩ B) is

a. 4

b. 5

c. 15

d. 75

Solution :

Step 1 of 2 :

Write down the given data

Here it is given that A and B are two sets such that n(A) = 22 , n(B) = 18 and n( A ∪ B) = 35

Step 2 of 2 :

Find the value of n( A ∩ B)

We know that ,

n( A ∪ B) = n(A) + n(B) - n( A ∩ B)

⇒ 35 = 22 + 18 - n( A ∩ B)

⇒ n( A ∩ B) = 22 + 18 - 35

⇒ n( A ∩ B) = 5

So the value of n( A ∩ B) = 5

Hence the correct option is b. 5

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ If P and Q are two sets such that n(P) = 12, n(Q - P) = 7, then which among thefollowing is the value of n(PU Q)?

https://brainly.in/question/31763496

2. If n(A) = 300, n(A∪B) = 500, n(A∩B) = 50 and n(B′) = 350, find n(B) and n(U).

https://brainly.in/question/4193770