The first job can be assigned to any of 5 men.
The 2nd job can be assigned to any of 5 men.
The 3rd job can be assigned to any of 5 men.
The number of possibilities are 5 x 5 x 5.
Here is your lecturer's reasoning:Suppose there are 3 jobs which are to be assigned to 5 men
where each man can be assigned more than 1 job.
How many ways are there to assign the 3 jobs?
My answer is
and my lecturer gives the answer .
Can anyone comment on this?
With no additional restrictions, all 5 jobs could be given to one man.
So, for each of the 3 jobs, there are 5 choices for a man to assign it to.
Therefore, there are: . possible job assignments.