The town of Pleasantville is going to form a public safetycommittee. Pleasantville already has a seven-person town council, afive-person citizen advisory board; the police force is made up often officers. There is no overlap between the members of the towncouncil, the citizen advisory board, and the police force.
Express all probabilities as decimals, rounded to sixplaces.
14) If the committee must include three members from the towncouncil, two members from the citizen advisory board, and threemembers from the police force, how many different ways can thecommittee be formed?
b) Suppose the public safety committee is made up as describedin #14, and members are to be chosen at random from each of thetown council, advisory board, and police force. If Tayler is on thetown council, what is the probability they will be selected for thecommittee?
c) Suppose the public safety committee is made up as describedin #14, and members are to be chosen at random from each of thetown council, advisory board, and police force. If Casey is on thecitizen advisory board, what is the probability they will beselected for the committee?
d) Suppose the public safety committee is made up as describedin #14, and members are to be chosen at random from each of thetown council, advisory board, and police force. If Pat is a policeofficer, what is the probability they will be selected for thecommittee?
