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?
Choose the correct choice from the following options
A) 144  B) 180  C) 192  D) 360  E) None of these
Task 1 can not be assigned to either person 1 or 2 i.e.there are 4 options.   Task 2 can be assigned to 3 or 4   So, there are only 2 options for task 2.   So required no. of ways = 2 options for task 2 × 3 options for task 1 × 4 options for task 3 × 3 options for task 4 × 2 options for task 5 × 1 option for task 6.   = 2 × 3 × 4 × 3 × 2 × 1 = 144   144nswer 144
<result>A</result>
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?