Question

 14. If A and B are two sets such that n(A)=23,n(B)=22 and n(A∪B)=35, then n(A∩B) is: *

145

5

10

0​

Answer 1

Answer:

10

Step-by-step explanation:

Given,

n(A)=23

n(B)=22

n(A U B)=35

We know,

n(A U B)=n(A)+n(B)-n(A ∩ B)

=>35= 23+22-n(A ∩ B)

=>-n(A ∩ B)= - 10

=> n(A ∩ B)= 10

This is the required answer dear Brainly User

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

If A and B are two sets such that n(A)=23,n(B)=22 and n(A∪B)=35, then n(A∩B) is: *

145

5

10

0

CONCEPT TO BE IMPLEMENTED

SET :

A set is a well defined collection of distinct objects of our perception or of our thought to be conceived as a whole

Representation of Set :

A set can be represented in following ways

(i) Statement form method

(ii) Roster or tabular form method

(iii) Rule or set builder form method

EVALUATION

Here it is given that

n(A)=23,n(B)=22 and n(A∪B)=35

Now

n(A∪B) = n(A) + n(B) - n(A∩B)

⇒35 = 23 + 22 - n(A∩B)

⇒n(A∩B) = 45 - 35

⇒ n(A∩B) = 10

FINAL ANSWER

Hence the correct option is 10

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