Under Probability Combinatorics

2.6.26. A new horror movie. Friday the 13th. Part X. will star Jason's great-grandson (also named Jason ) as a psy- chotic trying to dispatch (as gruesomely as possible ) eight camp counselors, four men and four women. (a) How many scenarios (i.e., victim orders) can the screenwriters devise, assuming they want Jason to do away with all the men before going after any of the women? (b) How many scripts are possible if the only restriction imposed on Jason is that he save Muffy for last