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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? - Mathematics

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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?

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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 =`3xx2xx1=6`

Concept: Permutations
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Exercise 16.2 | Q 32 | Page 16

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