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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?
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
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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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