In how many ways can the letters of the word 'LEADER' be arranged?

Difficulty: Easy

Correct Answer: 360

Explanation:

Problem restatementCount distinct permutations of 'LEADER' considering repeated letters.

Given data

  • Letters: L, E, A, D, E, R (6 letters total).
  • Repetition: E occurs twice.

Concept/ApproachPermutations with repetition: total = 6! / 2!.

Step-by-step calculation Total arrangements = 6! / 2! = 720 / 2 = 360

Verification/AlternativeIf all were distinct, we would have 720. Dividing by 2! corrects for swapping the two indistinguishable E's.

Final Answer360

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