How many distinguishable ways can the letters of the word millimicron be arranged in order?

total no. of letters = 11

millimicron

dissecting will give us:

no. of m = 2, no. of i = 3, no. of l = 2, no. of c = 1, no. of n = 1, no. of r = 1, no. of o = 1

we are going to compute this by using permutation

total no. of ways to arrangement = 11! / [ 2! * 3! * 2! * 1! * 1! * 1! * 1!]

= 39,916,800 / 24

= 1,663,200 is the answer