HMMT November 2023 U6
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- Answer
There are five people in a room. They each simultaneously pick two of the other people in the room independently and uniformly at random and point at them. Compute the probability that there exists a group of three people such that each of them is pointing at the other two in the group.
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{5}{108}
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