A greengrocer has determined the kilogram selling price of each of six fruits as shown in the figure. The greengrocer has placed bananas in the back middle compartment of a counter consisting of six compartments as shown in the figure. The greengrocer asks his apprentice to place the remaining five types of fruit in the empty compartments of the counter such that each compartment contains a different type of fruit and the price of the fruit in each front compartment is cheaper than the price of the fruit in the compartment directly behind it. Accordingly, in how many different ways can the apprentice arrange these fruits on the counter? A) 18 B) 24 C) 30 D) 36 E) 42
A greengrocer has determined the kilogram selling price of each of six fruits as shown in the figure. The greengrocer has placed bananas in the back middle compartment of a counter consisting of six compartments as shown in the figure. The greengrocer asks his apprentice to place the remaining five types of fruit in the empty compartments of the counter such that each compartment contains a different type of fruit and the price of the fruit in each front compartment is cheaper than the price of the fruit in the compartment directly behind it.
Accordingly, in how many different ways can the apprentice arrange these fruits on the counter?
A) 18
B) 24
C) 30
D) 36
E) 42