if n(B)=25,n (B) =12 and n(A union B) find N(AUB)
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0
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)
Answered by
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 !
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