SOLUTION: how do you find distinct permeation of the word immunology can you give me the formula and how it works for engineering as well?

Algebra ->  Permutations -> SOLUTION: how do you find distinct permeation of the word immunology can you give me the formula and how it works for engineering as well?      Log On


   



Question 947218: how do you find distinct permeation of the word immunology can you give me the formula and how it works for engineering as well?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
immunology
If you write it like this:

imMunOlogy, 

with one small "m" and one capital "M", and
with one small "o" and one capital "O", 

then you could tell the 4 arrangements:

mOlygoniuM, molygOniuM, MOlygonium, MolygOnium

apart and the answer would be 10!. But that is 4 times too many,
so we divite it by 4.  We divide by 4 because there are 2! ways the o
and O can be arranged time 2! ways the M and the m can be arranged,
so we divide by the factorials of the numbers of times each letter
]s repeated so the answer ie

ways.

Edwin