Compute Parking Clustering Probability and P-Value

There are 20 parking spaces numbered 1 through 20. Four cars park uniformly at random in four distinct spaces, so every subset of 4 spaces is equally likely. You observe that the four occupied spaces are exactly 1, 2, 3, and 4. 1. What is the probability of observing exactly this set of occupied spaces under the uniform-random null model? 2. How would you compute a p-value for this observation? Clearly define the null hypothesis, the alternative hypothesis, and what it means for another outcome to be "as extreme as or more extreme than" the observed outcome. Discuss how the answer changes under different reasonable definitions of extremeness, such as parking at one edge versus forming any consecutive block.