If it were "IMmUNOLoGY", where we could tell the difference between the
2 M's and between the 2 O's, the answer would be 10!.

However since we cannot tell them apart, we must divide by the number
of ways the 2 M's can be arranged in each permutation, which is 2!, and 
also we must divide by the number of ways the 2 O's can be arranged in 
each permutation, which is also 2!.

Answer: 

Edwin