Final answer:
There are 125 different ways to assign three jobs to five employees if each employee can be given more than one job. This is determined using the formula for permutations with repetition, which in this case is 5 to the power of 3.
Step-by-step explanation:
The question is asking for the number of ways to assign three jobs to five employees where each employee can be given more than one job. This is a problem of permutations with repetition, also known as arrangements with replacement. Each of the three jobs can be assigned to any of the five employees independently of the others.
To calculate the number of ways to assign the jobs, we use the formula for permutations with repetition, which is n^k, where n is the number of items to choose from (here, 5 employees), and k is the number of items to choose (here, 3 jobs). The calculation is therefore:
5^3 = 5 * 5 * 5 = 125
So, there are 125 different ways to assign the three jobs to the five employees if each employee can be given more than one job.