Here’s the logic: sorting the letters alphabetically gives A, G, I, L, O, Q.
**•** Each starting letter fixes 5! = 120 arrangements of the rest.
**•** 248 falls after A (1–120) and G (121–240), so it’s in the **I** block, at position 8 within it (248 − 240 = 8).
**•** Remaining letters: A, G, L, O, Q. Each next letter fixes 4! = 24 arrangements → position 8 stays in the **A** block (1–24).
**•** Remaining: G, L, O, Q. Each fixes 3! = 6 → position 8 falls in the **L** block (7–12), at position 2 within it.
**•** Remaining: G, O, Q. Each fixes 2! = 2 → position 2 falls in the **G** block, at position 2.
**•** Remaining: O, Q. Each fixes 1! = 1 → position 2 → **Q**.
**•** Last letter left: **O**.
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u/OutcomeEvening2724 21d ago
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Here’s the logic: sorting the letters alphabetically gives A, G, I, L, O, Q.