In how many ways can the letters of the word LAGOS be arranged?
A24
B60
C120CORRECT
D720
GCEFurther MathematicsPermutations and Combinations2024
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Why the answer is C, and why the others tempt you.
The word LAGOS has 5 distinct letters. The number of arrangements is 5! = 5 × 4 × 3 × 2 × 1 = 120. Since all letters are distinct, no division for repetition is needed.
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