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If A has 32 elements, B has 42 elements and AUB has 62 elements, the number of elements in A ∩ B is
- a)12
- b)74
- c)10
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
If A has 32 elements, B has 42 elements and AUB has 62 elements, the n...
Given:
- Number of elements in set A = 32
- Number of elements in set B = 42
- Number of elements in set AUB = 62
To find:
- Number of elements in set A ∩ B
Solution:
We can use the formula:
- n(AUB) = n(A) + n(B) - n(A ∩ B)
Substituting the given values, we get:
- 62 = 32 + 42 - n(A ∩ B)
Simplifying the equation, we get:
- n(A ∩ B) = 12
Therefore, the number of elements in set A ∩ B is 12.
Answer: (a) 12
- Number of elements in set A = 32
- Number of elements in set B = 42
- Number of elements in set AUB = 62
To find:
- Number of elements in set A ∩ B
Solution:
We can use the formula:
- n(AUB) = n(A) + n(B) - n(A ∩ B)
Substituting the given values, we get:
- 62 = 32 + 42 - n(A ∩ B)
Simplifying the equation, we get:
- n(A ∩ B) = 12
Therefore, the number of elements in set A ∩ B is 12.
Answer: (a) 12
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If A has 32 elements, B has 42 elements and AUB has 62 elements, the n...
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If A has 32 elements, B has 42 elements and AUB has 62 elements, the number of elements in A B isa)12b)74c)10d)none of theseCorrect answer is option 'A'. Can you explain this answer?
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