<｜begin▁of▁sentence｜>### Instruction:
Given a set of 10 random 2D coordinates, can you use a VertexCollection to plot them as circles with random sizes and display it using matplotlib?
### Response:
import matplotlib.pyplot as plt
from matplotlib.collections import PathCollection
from numpy.random import rand

# Generating random coordinates for vertices
coordinates = rand(10, 2) # 10 vertices

# Creating a PatchCollection instance, using circles as markers
vertices = PathCollection([plt.Circle((0, 0), 1) for _ in range(10)], offsets=coordinates, transOffset=plt.gca().transData)

# Setting sizes for vertices
sizes = (rand(10) * 100).tolist() # Random sizes for each vertex
vertices.set_sizes(sizes)

# Plotting
plt.gca().add_collection(vertices)
plt.xlim(0, 1)
plt.ylim(0, 1)
plt.show()
<|EOT|>
