Question

if n(B)=25,n (B) =12 and n(A union B) find N(AUB)
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Answer 1

Answer:

Pls mark me as brainliest

Step-by-step explanation:

we cant find as in the question you didn't mention n(A intersection B)

Answer 2

Answer:

don't thank me i googled it

Step-by-step explanation:

Hey there !

Here's the answer !

Given : n ( A ) = 25 ; n ( B ) = 40 ; n ( A U B ) = 50 ; n ( B¹ ) = 25

Formula to be used : n ( A U B ) = n ( A ) + n ( B ) - n ( A ∩ B )

Substituting the given values in the above formula we get,

=> 50 = 25 + 40 - n ( A ∩ B )

=> n ( A ∩ B ) = 25 + 40 - 50

=> n ( A ∩ B ) = 65 - 50 = 15

Hence n ( A ∩ B ) = 15

We also know that,

n ( B¹ ) = n ( U ) - n ( B )

Substituting the values we get,

25 = n ( U ) - 40

=> n ( U ) = 40 + 25 = 65.

Hence the universal set n ( U ) contains 65 elements.

Hope it helped !