The formula for the number of distinguishable arrangements is:INDEPENDENCE has 12 letters, so 12! is the numerator. There are 3 indistinguishable N's, so one of the factors of the denominator is 3! There are 2 indistinguishable D's, so one of the factors of the denominator is 2! There are 4 indistinguishable E's, so one of the factors of the denominator is 4! Answer: Edwin