Exercises 50–54 refer to the following: In an executive parking lot, there are six parking spaces in a row, labeled 1 through 6. Exactly five cars of five different colors—black, gray, pink, white, and yellow—are to be parked in the spaces. The cars can park in any of the spaces as long as the following conditions are met:
? The pink car must be parked in space 3.
? The black car must be parked in a space next to the space in which the yellow car is parked.
? The gray car cannot be parked in a space next to the space in which the white car is parked.
Which of the following must be true of any acceptable parking arrangement?
a. One of the cars is parked in space 2.
b. One of the cars is parked in space 6.
c. There is an empty space next to the space in which the gray car is parked.
d. There is an empty space next to the space in which the yellow car is parked.
e. Either the black car or the yellow car is parked in a space next to space 3.
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