Nine people sit around a round table. The number of ways of selecting four of them such that they are not from adjacent seats, is...?
MY ATTEMPT:- I placed first non selecting persons around the table. Five places are present in between these five non selecting persons. If I place four other selecting persons in any of the four places out of these five places, they will not be adjacent. So according to me answer will be $^5C_4 = 5$. But it is not the correct answer. Correct answer is $9$.