Please choose 1-2 people from each department to act as representatives
Each department please select 1 or 2 people to be representatives.
各部署 = each department
から = from
代表者 = representative
1~2名 = 1 to 2 people/names
決める = decide / decide on -> choose / select
ください = please
もう一つの言い方は
Please decide on 1 to 2 names to be the representative of each department.