Chapter 2.3, Problem 50E

The following questions are modeled after those found on standardized entrance exams.

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 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 condition 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 1, how many acceptable parking arrangements are there for the five cars?

a. 1

b. 2

c. 3

d. 4

e. 5