# A car is parked among N cars standing in a row, but not at either end. On his return, the owner finds that exactly ‘r’ of the N places are still occupied. The probability that the places neighbouring his car are empty is

Question : A car is parked among N cars standing in a row, but not at either end. On his return, the owner finds that exactly ‘r’ of the N places are still occupied. The probability that the places neighbouring his car are empty is

(A) $\dfrac{\left( r-1\right) !}{\left( N-1\right) !}$

(B) $\dfrac{\left( r-1\right) !\left( N-r\right) !}{\left( N-1\right) !}$

(C) $\dfrac{\left( N- r \right) \left( N- r -1\right) }{\left( N+1\right) \left( N+2\right) }$

(D) $\dfrac{N-r C_{2}}{N-1C_{2}}$