Final answer:
There are 720 different ways to assign 6 jobs to 6 people, calculated by the factorial of 6, which is 6 factorial (6!).
Step-by-step explanation:
The question is asking how many ways can 6 jobs be assigned to 6 people. This is a problem of calculating permutations because we need to find out the different ways in which 6 people can be assigned to 6 unique jobs with no repetitions and no jobs left unassigned. To find the number of ways to do this, we use the factorial function, which is denoted by an exclamation point (!). For any integer n, n! represents the product of all positive integers up to n.
So, the number of ways to assign these jobs can be calculated as:
6! = 6 × 5 × 4 × 3 × 2 × 1
Calculating this, we find that:
6! = 720
Therefore, there are 720 different ways to assign 6 jobs to 6 people.