Question:
The probability that two randomly selected subsets of the set $\{1,2,3,4,5\}$ have exactly two elements in their intersection, is :
Correct Option: , 3
Solution:
Total subsets $=2^{5}=32$
Probability $=\frac{{ }^{5} \mathrm{C}_{2} \times 3^{3}}{32 \times 32}=\frac{10 \times 27}{12^{10}}=\frac{135}{2^{9}}$
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