Question

Twenty workers are to be assigned to 20 different jobs, one to each job. How many different assignments are possible

Short answer

The number of different possible assignments are$20\times 19\times 18\times 17\times .......\times 1=20!$

Step-by-step solution

.Given information 

According to the question, twenty workers are to be assigned to 20 different jobs

We need to find out the how many different assignments are possible

Step 2. description about finding the number of different assignments

Based on the given question, twenty workers are to be assigned to 20 different jobs, one to each job. So by using different permutations for 20 objects, that is the first worker can get 20 jobs and the second worker get 19 jobs and go on .

Thus different possible assignments are$20\times 19\times 18\times 17\times .......\times 1=20!$