Question 4
At a round-table meeting, a CEO selects a team of three from 25 marketing specialists. The probability that at least two selected specialists sit next to each other is $m/n$, where $m,n$ are relatively prime positive integers. Find $m+n$.
Assume all 25 specialists occupy consecutive seats around the circle and every three-person subset is equally likely. Interpret the source phrase “2 ... sitting next to each other” as at least one adjacent pair, including teams of three consecutive people.
Assume all 25 specialists occupy consecutive seats around the circle and every three-person subset is equally likely. Interpret the source phrase “2 ... sitting next to each other” as at least one adjacent pair, including teams of three consecutive people.