In how many ways can the letters of the word 'LEADER' be arranged?
Aptitude
Permutation and Combination
Difficulty: Easy
Choose an option
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A360
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B720
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C180
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D300
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ENone of these
Answer
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