Arranging the Letters in "ARKANSAS": Correct Permutation Count

Accounting for Repeated Letters

The word ARKANSAS has 8 letters with repetitions:

• A: 3 times
• R: 1
• K: 1
• N: 1
• S: 2 times

Correct Formula

Permutations of multiset: 8! / (3! × 2!) = 40,320 / (6 × 2) = 40,320 / 12 = 3,360 distinct arrangements.

Common Mistake

Calculating 8! = 40,320 ignores duplicate letters. The correct answer is 3,360 unique permutations.