Three research departments have 10 ,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?

The number of permutations of the number of members in each department, taken two at a time, is needed to solve this problem. In each selection of two members there are two ways to assign the roles of delegate and alternate.

It’s hard to understand what you put.. can you show a picture ?