What is the number of distinct arrangements of the letters of the word ugccsir so that you and i cannot come together?

Answer 1

from itertools import permutations

from string import join

arrangements = [ ]

for p in permutations ( 'ugccsir', 6 ) :

arrangement = join ( p, '' )

if 'ui' in arrangement :

continue

if not arrangement in arrangements :

arrangements . append ( arrangement )

print len ( arrangements )

The above Python code gives a result of 2,220.