UPSC Civil Services 2015 Prelims General Studies Paper II

Here are five persons, and 5 tasks
So, When T2 task is fixed for person 3
For Task 1 no. of ways = 2
Task 2 no. of ways = 1
Task 3 no. of ways = 3
Task 4 no. of ways = 3
Task 5 no. of ways = 3
Total no. of ways for condition = 3 + 3 + 3 + 2 + 1 = 12
Condition II
When task T2 is given to be person 4
No. of ways for Task T1 = 2
No. of ways for Task T2 = 1
No. of ways for Task T3 = 3
No. of ways for Task T4 = 3
No. of ways for Task T5 = 3
Total number of ways for condition II
= 3 + 3 + 3 + 2 +1
= 12
Total number of ways for condition I and II= 12 + 12
= 24