Question

# The probability that two randomly selected subsets of the set {1,2,3,4,5} have exactly two elements in their intersection, is 13529652865273527

Solution

## The correct option is A 13529Let A and B be two subsets. For each x∈{1,2,3,4,5}, there are four possibilities : x∈A∩B, x∈A′∩B, x∈A∩B′, x∈A′∩B′ So, the number of elements in sample space =45 Required probability =5C2×3345 =10×27210=13529

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