There are 6 persons arranged in a row. Another person has to shake hands with 3 of them so that he should not shake hands with two consecutive persons. In how many distinct possible combinations can the handshakes take place ?
A
3
B
4
C
5
D
6
Correct Answer: Option B
Explanation
We are selecting 3 persons out of 6 (P1 to P6) such that no two are consecutive.
**Approach 1: Systematic Listing (The Intuitive Way)**
Since the options are so small (3, 4, 5, 6), we can simply list the possibilities. This stra