This is with reference to my earlier blog regarding the assignment of 6 tasks to 6 persons
Task 2 can be assigned only to either person 3 or 4..
As task 1 cannot be assigned to either person 1 or 2,it could be assigned to either persons 3,5,6 or 4,5,6 depending on 4 or 3 being assigned task 2-So Tasks 1 and 2 can be assigned only in 6 ways viz 4/3,4/5,4/6,3/4,3/5,3/6.
The remaining 4 tasks can be assigned in 4! or 24 ways
Thus the total number of ways in assigning the 6 tasks is 6*24=144 ways.
Task 2 can be assigned only to either person 3 or 4..
As task 1 cannot be assigned to either person 1 or 2,it could be assigned to either persons 3,5,6 or 4,5,6 depending on 4 or 3 being assigned task 2-So Tasks 1 and 2 can be assigned only in 6 ways viz 4/3,4/5,4/6,3/4,3/5,3/6.
The remaining 4 tasks can be assigned in 4! or 24 ways
Thus the total number of ways in assigning the 6 tasks is 6*24=144 ways.
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