Question

Prove that P(A∩B)=P(A)∩P(B) for all sets A,B.

Answer 1

Explanation:

let,

p(A)={1,2,3,4}

p(B)={3,4,5,6}

p(AnB)={3,4}

now,

• p{AnB)=P(A)nP(B)
• {3,4}={1,2,3,4}n{3,4,5,6}
• {3,4}={3,4}

LHS=RHS. proved.

hope it helps.

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