Q:

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

Accepted Solution

A:
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