There are five persons P, Q, R, S and T each one of whom has to be assigned one task. Neither P nor Q can be a

Question

There are five persons P, Q, R, S and T each one of whom has to be assigned one task. Neither P nor Q can be assigned Task-1. Task 2 must be assigned to either R or S. In how many ways can the assignment be done ?

Accepted Answer

The problem involves assigning tasks to individuals with specific constraints. Task-1 cannot be assigned to P or Q. Task-2 must go to R or S. We can analyze the possibilities for Task-1 and Task-2 first, then assign the remaining tasks to the remaining people. Considering the constraints, we can determine the number of valid assignments by systematically enumerating the choices for each task and person, ensuring no condition is violated.