Three research departments have 9 , 6 , and 8 members, respectively. each department is to select a delegate and an alternate to represent the department at a conference. in how many ways can this be done?

Marquise has 200 meters of fencing to build a rectangular garden. the garden's area (in square meters) as a function of the garden's width w w (in meters) is modeled by: a ( w ) = − w 2 + 1 0 0 w a(w)=−w 2 +100w what side width will produce the maximum garden area? meters