# The game of Clue involves 6 suspects, 6 weapons,and 9

**Chapter 7, Problem 7.2**

(choose chapter or problem)

The game of Clue involves 6 suspects, 6 weapons,and 9 rooms. One of each is randomly chosen andthe object of the game is to guess the chosen three.(a) How many solutions are possible?In one version of the game, the selection ismade and then each of the players is randomlygiven three of the remaining cards. Let S, W,and R be, respectively, the numbers of suspects,weapons, and rooms in the set of threecards given to a specified player. Also, let Xdenote the number of solutions that are possibleafter that player observes his or her threecards.(b) Express X in terms of S, W, and R.(c) Find E[X].

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