CSATPermutation, Combination & ProbabilityPermutation and Combination2021

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

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