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For a finite set A, the number of elemen...

For a finite set A, the number of elements in A is denoted by n(A). Use a Venn diagram (or otherwise) to prove that, for any two sets A,B
`n(AcupB)=n(A)+n(B)-n(AcapB)`

Answer

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Knowledge Check

  • For any two set A and B, n(A)+n(B)-n(A capB)=

    A
    `n(A cupB)`
    B
    `n(A)-n(B)`
    C
    `phi`
    D
    none of these

  • If A and B are two disjoint sets then n(A cupB)=

    A
    `n(A)+n(B)`
    B
    `n(A)-n(B)`
    C
    0
    D
    none of these

  • If the number of terms in the expansion of (a+x)^(n) is finite then n is a -

    A
    real number
    B
    positive integer
    C
    negative integer
    D
    positive fraction

    • Similar Questions

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    If the number of elements of set A are n, then show that the number of sub sets of A are 2^n .

    For any two sets A and B, prove the following : A-B=A-(AcapB)

    For any three sets A,B,C prove by the formulae of set algebra that (AcapB)-C=(A-C)cap(B-C)

    For any two sets A and B, prove the following : (A-B)cup(AcapB)=A

    If n (A) =3 ,n(B)=6 and A sube B .Then the number of elements in A cup B is equal to

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