Output of the Python program which follows is:

Cardinality of S:   900000
Cardinality of S1:  136080
Cardinality of S2:  3480
Cardinality of S3:  0

 ---------

s0 = []
s1 = []
s2 = []
s3 = []
for i in range(100000,1000000):
    s0.append(i)
    if len(list(str(i))) == len(set(list(str(i)))): # because sets have no duplicate members
        s1.append(i)
        max_i = -1  # temporary
        min_i = 11  # temporary
        ilist = [int(c) for c in str(i)]  # convert integer to list of digits
        for j in ilist:
            max_i = max(max_i,j)
            min_i = min(min_i,j)
        if max_i - min_i == 5:
            s2.append(i)
            if i % 143 == 0:
                s3.append(i)
               

print('Cardinality of S:  ',len(s0))          
print('Cardinality of S1: ',len(s1))
print('Cardinality of S2: ',len(s2))
print('Cardinality of S3: ',len(s3))