In how many ways can three jobs I, II and III be assigned to three persons A, B and C

Question:

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

Solution:

Number of ways of assigning a job to person A = 3

Number of ways of assigning the remaining jobs to person B = 2               (since one job has already been assigned to person A)

The number of ways of assigning the remaining job to person C = 1

Total number of ways of job assignment $=3 \times 2 \times 1=6$

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