# Puzzle | Neighbors in a round table

There are 6 persons seating on a round table in which two individual have the same names. What is the probability that the two same-named individuals will be neighbors?

**Solution(Method 1):** Total no of ways in which 6 persons can sit on a round table is **(6-1)! = 5! = 120**.

If we consider two same-named individuals as one person there are 5 persons who can sit in **(5-1)!** ways and these individuals can be seated together in **2!** ways.

So, required probability =(2*(5-1)!)/(6-1)!= **2/5**.

So, the answer is 2/5 = **0.4**.

**Solution(Method 2):** We fix one of the same name guy in any position. Now we are left with 5 places out of which 2 can be seated neighbor.

Therefore, the answer is 2/5 = **0.4**.