import pandas as pd

df = pd.DataFrame({'A': ['x', 'x', 'x','y','y']
                , 'B': ['a', 'c', 'c','b','b']})
print (df)
   A  B
0  x  a
1  x  c
2  x  c
3  y  b
4  y  b

df = df.groupby(['A', 'B']).size().reset_index(name='Size')
print (df)
   A  B  Size
0  x  a     1
1  x  c     2
2  y  b     2