In how many distinct arrangements can the letters of the word “INHALE” be written in a row? (All letters are distinct.)

Introduction / Context:Arranging n distinct letters in a row yields n! permutations. “INHALE” has 6 distinct letters.

Given Data / Assumptions:

• Letters: I, N, H, A, L, E (6 distinct).

Concept / Approach:Compute 6!.

Step-by-Step Solution:

Verification / Alternative check:No repeated letters, so no division by factorials of multiplicities is needed.

Why Other Options Are Wrong:360 or 120 would correspond to dividing by 2! or 3! which is inappropriate here; 650 is not a factorial value.

Common Pitfalls:Misidentifying repeats; “INHALE” has none.

Final Answer:720