Question

If n(A) = 20, n(B) = 44,n(A ^ B) = 13, then n(AUB) =
(a) 22
(b)39
(C)24
(d)51​

Answer 1

Answer:

answer is 51 the option is D

Answer 2

The value of n(A ∪ B) = 51

Correct question : If n(A) = 20 , n(B) = 44 , n(A ∩ B) = 13 then n(A ∪ B) = (a) 22 (b)39 (c)24 (d)51

Given :

n(A) = 20 , n(B) = 44 , n(A ∩ B) = 13

To find :

The value of n(A ∪ B) =

(a) 22

(b)39

(c) 24

(d) 51

Formula :

We are aware of the formula on set theory that ,

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

Solution :

Step 1 of 2 :

Write down the given data

Here it is given that n(A) = 20 , n(B) = 44 , n(A ∩ B) = 13

Step 2 of 2 :

Find the value of n(A ∪ B)

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

⇒ n(A ∪ B) = 20 + 44 - 13

⇒ n(A ∪ B) = 51

Hence the correct option is d) 51

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