If A and B are two sets such that n(B) =12, n(AΠB) =4 and n(AUB) =29 then finds(A)

Question

If A and B are two sets such that n(B) =12, n(AΠB) =4 and n(AUB) =29 then finds(A)

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Melody 4 months 2021-09-24T21:36:02+00:00 1 Answer 0 views 0

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    2021-09-24T21:37:06+00:00

    Answer:

    Given:

    • n(B) = 12
    • n(A \cap B) = 4
    • n(A \cup B) = 29
    • n(A) = ?

    Solution:

    \dag \underline{\mathcal{By \ formula :}}

    n(A \cup B) = n(A) + n(B) - n(A \cap B)

    29 = n(A) + 12 - 4

    n(A) + 8 = 29

    n(A) = 29 - 8

    \boxed{\implies{\boxed{n(A) = 21}}}

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