I am not completely sure of this answer.
Both the kids and the jobs are distinct.
Therefore, we have 5⋅4⋅3⋅2 ways of ordering the jobs since each kid must have at least one job.
There are 5 jobs available for the first kid, 4 for the next, and so on.
Now we have assigned each kid a job and we have one job left.
Thus, we have 4 choices.
5⋅4⋅3⋅2⋅4=480. 