InterviewSolution
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InterviewSolution
| 1. |
For any set A and B show that P(A intersection B) = P(A) Intersection P(B) |
| Answer» We have to show that P(A ∩ B) = P(A) ∩ P(B)LHS:Let x ∈ P(A ∩ B)=> x ∈ (A ∩ B)=> x ∈ A and x ∈ B .............1RHS:x ∈ P(A) ∩ P(B)=> x ∈ A and x ∈ B ............2From equation 1 and 2, we getP(A ∩ B) = P(A) ∩ P(B)Hence proved. | |