Question

In how many ways can three jobs, I, II and III be assigned to three persons A, B and C if one person is assigned only one job and all are capable of doing each job?

Answer 1

Given:

three jobs, I, II and III to be assigned to three persons A, B and C. 

To find: In how many ways this can be done.

Condition:

one person is assigned only one job and all are capable of doing each job.

It is given that one person is assigned only one job and all are capable of doing each job.

So if for person one 3 options are available, for person two 2 options and for person three only one option is available. 

So total number of ways in which three jobs, I, II and III be assigned to three persons A, B and C if one person is assigned only one job and all are capable of doing each job= 3 × 2 × 1 = 6