In how many distinguishable ways can you arrange the letters in the word CONNECTICUT? *

The number of distinguishable arrangements are 1,663,200.

Step-by-step explanation:

The word is: CONNECTICUT

The number of ways to arrange a word when no conditions are applied is:

Here k is the number of times a word is repeated.

In the word CONNECTICUT there are:

3 Cs

2 Ns

2 Ts

And there are a total of n = 11 letters

So, the number of distinguishable arrangements are:

Thus, the number of distinguishable arrangements are 1,663,200.