# If A and B are subset s of X = {1, 2, 3, 4, 5} then find the probability such that n(A ∩ B) = 2.

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If A and B are subset s of X = {1, 2, 3, 4, 5} then find the probability such that n(A $\cap$ B) = 2.

(1) $65\over2^7$

(2) $65\over2^9$

(3) $35\over2^9$

(4) $135\over2^9$

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Required probability

= 5C2x3³/45

= 10x23/210

=135/29