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If A is a subset of B and B is a subset of C, then the cardinality of A ∪ B ∪ C is equal to:
  • a)
    Cardinality of B.
  • b)
    Cardinality of C.
  • c)
    Cardinality of A.
  • d)
    none of the above
  • e)
    can not be determined
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If A is a subset of B and B is a subset of C, then the cardinality of ...
Calculations:
Since, A ⊂ B and B ⊂ C, therefore A ∪ B ∪ C = C.
⇒ n(A ∪ B ∪ C) = n(C).
∴ The cardinality (number of elements) of A ∪ B ∪ C = cardinality (number of elements) of C.
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Most Upvoted Answer
If A is a subset of B and B is a subset of C, then the cardinality of ...
If A is a subset of B and B is a subset of C, then the cardinality of A must be less than or equal to the cardinality of B, and the cardinality of B must be less than or equal to the cardinality of C.
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If A is a subset of B and B is a subset of C, then the cardinality of A ∪ B ∪ C is equal to:a)Cardinality of B.b)Cardinality of C.c)Cardinality of A.d)none of the abovee)can not be determinedCorrect answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If A is a subset of B and B is a subset of C, then the cardinality of A ∪ B ∪ C is equal to:a)Cardinality of B.b)Cardinality of C.c)Cardinality of A.d)none of the abovee)can not be determinedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A is a subset of B and B is a subset of C, then the cardinality of A ∪ B ∪ C is equal to:a)Cardinality of B.b)Cardinality of C.c)Cardinality of A.d)none of the abovee)can not be determinedCorrect answer is option 'B'. Can you explain this answer?.
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