Seven men, A, B, C, D, E, F and G have parked their cars in a row. The cars of E and F should be next to each other. The cars of D and G should be parked next to each other. Whereas A and B cannot park their cars next to each other. But B and D must park their cars next to each other and C’s car is parked to the immediate right of G’s car. If E parks his car to the left of F, then which of the following statements is false?