The word HANDIER consists of 7 letters: H, A, N, D, I, E, R. All 7 letters are distinct (no repetitions). The number of distinct ways to arrange these 7 letters is the number of permutations of 7 different items, which is 7!. 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040 Therefore, HANDIER can be arranged in 5040 ways.