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

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Solution

Number of ways by which 3 jobs are to be assigned to 3 persons $=^{3} C_{3}$
Number of ways of arranging the persons in the jobs $= 3!$

Hence, Answer is $=^{3} C_{3} 3! = 6$

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अजय, अनिल और अभय को कितने प्रकार से कार्य निर्दिष्ट किए जा सकते हैं?

Q. There are 6 jobs with distinct difficulty levels, and 3 computers with distinct processing speeds. Each job is assigned to a computer such that:
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In the how many ways can three jobs I,II and III be assigned to three person A,B and C if one person is assigned only one job and all are capable of doing each job?

Number of ways by which 3 jobs are to be assigned to 3 persons =3C3Number of ways of arranging the persons in the jobs =3!Hence, Answer is =3C33!=6

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

Number of ways by which 3 jobs are to be assigned to 3 persons $=^{3} C_{3}$
Number of ways of arranging the persons in the jobs $= 3!$

Hence, Answer is $=^{3} C_{3} 3! = 6$