যদি A = {1,2} এবং B = {2,5} হয়, তবে P(A)∩P(B) = ?

যদি A = {1,2} এবং B = {2,5} হয়, তবে P(A)∩P(B) = ?

A {1,5}

B {2}

C {∅,(2)}

D {∅}

Solution

Correct Answer: Option C

A = {1,2} এবং B = {2,5}

P(A) = {{1}, {2}, {1,2}, ∅}

এবং P(B) = {2}, {5}, {2,5}, ∅

P(A) ∩ P(B)

= {{1}, {2}, {1,2}, ∅} ∩ {{2}, {5}, {2,5}, ∅}

= {∅, {2}}