Company X is hiring four new IT people, Linda, Lisa, Jake, and Jeremy. Company X is also hiring four new employees in the human resources department, Justin, James, Laura, and Lily. Company X is assigning one IT person and one new human resources emplyoee to each of its four locations in Los Angeles, Chicago, New York, and New Orleans. How many different ways can company X assign employees to locations? Assuming the assignments are random, what is the chance that Linda and Laura go to NEw Orleans and Jake and James are paried together? Suppose to avoid confusion, Company X doesn\'t want to assign two people whoes name starts with the same letter to the same location. How many options does Company X have now? Solution four distinct IT people and 4 distinct HR people has to be assigned to the four distinct locations ( assume each loaction is a bucket) the total number of chances is = 4!*4! = 24^2 = 576 (4! ways of making partners and then 4! permutations of the pairs in locations) if linda and laura go to new orleans and jake and james are paired together , then total number of chances total number of chances = 2!*3! = 12 last part) 4* 4! ways = 96.