Q.1.3 - A First Course in Probability

Question

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

Step-by-Step Solution

Answer

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

Step 1 .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  $20\times 19\times 18\times 17\times .......\times 1 =20!$