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str.count(sub, start=0, end=len(string))

#!/usr/bin/python3

str = "www.tutorialpro.org"
sub = 'o'
print("str.count('o') : ", str.count(sub))

sub = 'run'
print("str.count('run', 0, 10) : ", str.count(sub, 0, 10))

str.count('o') :  3
str.count('run', 0, 10) :  1