1. Correct Answer: Option C: 24
 2. Explanation:
     To solve this problem, we need to assign 5 tasks to 5 persons with certain constraints. Let's break it down step by step:
     ● Task-1 cannot be assigned to either person-1 or person-2. This means Task-1 can only be assigned to person-3, person-4, or person-5. So, there are 3 possible choices for Task-1.  
     ● Task-2 must be assigned to either person-3 or person-4. This gives us 2 possible choices for Task-2.  
         ○ After assigning Task-1 and Task-2, we will have 3 tasks left and 3 persons left. These remaining tasks can be assigned to the remaining persons in 3! (3 factorial) ways, which is 6 ways.
     Now, let's calculate the total number of ways to assign the tasks:
         ○ For Task-1, we have 3 choices.
         ○ For Task-2, we have 2 choices.
         ○ For the remaining tasks, we have 6 ways to assign them.
     Therefore, the total number of ways to assign the tasks is:
     \[
     3 \times 2 \times 6 = 36
     \]
     However, we must consider that Task-2's assignment to person-3 or person-4 is independent of Task-1's assignment. Thus, we need to adjust for overcounting:
         ○ If Task-1 is assigned to person-3, Task-2 can only be assigned to person-4.
         ○ If Task-1 is assigned to person-4, Task-2 can only be assigned to person-3.
         ○ If Task-1 is assigned to person-5, Task-2 can be assigned to either person-3 or person-4.
     This gives us:
         ○ 1 way for Task-1 to person-3 and Task-2 to person-4.
         ○ 1 way for Task-1 to person-4 and Task-2 to person-3.
         ○ 2 ways for Task-1 to person-5 and Task-2 to either person-3 or person-4.
     Therefore, the correct calculation is:
     \[
     (1 + 1 + 2) \times 6 = 4 \times 6 = 24
     \]
     Thus, the correct answer is Option C: 24.