There are 6 tasks and 6 persons. Task 1 cannot be assigned either to person 1 or to person 2

• Quant PnC

There are 6 tasks and 6 persons. Task 1 cannot be assigned either to person 1 or to person 2; task 2 must be assigned to either person 3 or person 4. Every person is to be assigned one task. In how many ways can the assignment be done?

1. 144
2. 180
3. 192
4. 360

Answer

Task 2 can only be given to two persons i.e. person 3 or person 4.

Number of ways of assigning task 2 = 2 ways.

First task can be done in 3 ways by 3 persons.

Third task can be done by 4 persons = 4 ways.

Similarly for fourth, fifth and sixth tasks, number of ways is 3, 2 and 1 respectively.

Total number of ways = 2*3*4*3*2*1 = 144 ways

The correct option is A.