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There are 5 tasks and 5 persons. Task-1 cannot be assigned to either person-1. or 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?

There are 5 tasks and 5 persons. Task-1 cannot be assigned to either person-1. or 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? Correct Answer 24

Case I: Let us assume that task 2 was assigned to person 3.
Case II: Let us assume that task 2 was assigned to person 4.

In case I, the number of ways are = 2 x 3 x 2 x 1 = 12
In case II, the number of ways are = 2 x 3 x 2 x 1 = 12
Total number of ways = 12 + 12 = 24

Hence, there are 24 ways to do the assignments.

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