CMAT 2019 Solved Question Paper

Based on the given constraints, there will be two cases in which task 1 is either assigned to one among person 3 or 4 or to one among person 5 or 6
Case 1:
Assigning Task 1 to either Person 3 or 4.
No. of ways of assigning task 1 = 2 ways
No. of ways of assigning task 2 = 1 way
Remaining 4 tasks can be assigned among the remaining 4 persons in 4! ways.
Therefore, Total number of ways = 2 x 1 x 4! = 48
Case 2:
Assigning Task 2 to either Person 5 or 6.
No. of ways of assigning task 1 = 2 ways
No. of ways of assigning task 2 = 2 ways
Remaining 4 tasks can be assigned among the remaining 4 persons in 4! ways.
Therefore, Total number of ways = 2 x 2 x 4! = 96
Hence, total number of possible arrangements= 48 + 96 = 144