Question:

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

(a) \(\frac{65}{2^{27}}\)

(b) \(\frac{135}{2^{27}}\)

(c) \(\frac{65}{2^{29}}\)

(d) \(\frac{35}{2^{28}}\)

Step-by-Step Solution

Key Concept: Count subsets with exactly 2 common elements using combinatorial principles

Not provided in text

Correct Answer: C