ILLINOIS is an 8-letter word. If you could tell the 2 L's apart and the 3 I's apart, the answer would be 8!, but since you can't tell the 2 L's apart, you need to divide by the number of ways to arrange them, which is 2!. Also since you can't tell the 3 I's apart, you need to divide by the number of ways to arrange them, which is 3!.Edwin