If A and B are two sets such that n(A)=24 and n(B)=22 and n(A∩B)=8 , find n(AUB)
Answers
Answered by
3
Answer:
Explanation:
Given :
- A and B are two sets.
- n(A) = 24 , n(B) = 22 and n(A∩B) = 8.
To Find :
- The value of n(AUB).
Solution :
Given that, A and B are two sets.
We know that,
n(A) + n(B) = n(A∩B) + n(AUB)
=> 24 + 22 = 8 + n(AUB)
=> 46 = 8 + n(AUB)
=> n(AUB) = 46 - 8
=> n(AUB) = 38
Hence :
The value of n(AUB) is 38.
Verification :
n(A) + n(B) = n(A∩B) + n(AUB)
=> 24 + 22 = 38 + 8
=> 46 = 46
.°. LHS = RHS
Hence Verified!!
Answered by
3
Answer:-
Given :-
- A and B are two sets.
- n(A) = 24 , n(B) = 22 and n(A∩B) = 8.
To Find :-
- The value of n(AUB).
Solution :-
- Given that, A and B are two sets.
We know that,
n(A) + n(B) = n(A∩B) + n(AUB)
=> 24 + 22 = 8 + n(AUB)
=> 46 = 8 + n(AUB)
=> n(AUB) = 46 - 8
=> n(AUB) = 38
Hence :-
The value of n(AUB) is 38.
Verification :
n(A) + n(B) = n(A∩B) + n(AUB)
=> 24 + 22 = 38 + 8
=> 46 = 46
.°. LHS = RHS
Hence Verified!!
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