Problem

Exercises 50–54 refer to the following: In an executive parking lot, there are six parki...

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.

If the yellow car is parked in space 2, which of the following must be true?

a. None of the cars is parked in space 5.

b. The gray car is parked in space 6.

c. The black car is parked in a space next to the space in which the white car is parked.

d. The white car is parked in a space next to the space in which the pink car is parked.

e. The gray car is parked in a space next to the space in which the black car is parked.

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