There are five comics numbered from 1 to 5. In how many ways can they be arranged, so that part-1 and part-3 are never together?

A. 48

B. 72

C. 120

D. 210

Answer: Option B

Solution(By Examveda Team)

The total number of ways in which 5 part can be arranged =5! =120.
The total number of ways in which part-1 and part-3 are always together:
= 4! × 2!
= 48
Therefore, the total number of arrangements, in which they are not together is:
= 120 - 48
= 72