Question:
In how many distinct ways can the letters of the word LEADER be arranged?
In how many distinct ways can the letters of the word LEADER be arranged?
Show Hint
Divide 6! by the factorial of the repeated letter count.
Updated On: Jul 8, 2026
- 720
- 180
- 360
- 120
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The Correct Option is C
Solution and Explanation
Step 1: Count the letters and repeats.
LEADER has 6 letters, with the letter E appearing twice.
Step 2: Apply the permutation-with-repetition formula.
\[\dfrac{6!}{2!}\] Step 3: Compute.
\[\dfrac{720}{2} = \boxed{360}\]
LEADER has 6 letters, with the letter E appearing twice.
Step 2: Apply the permutation-with-repetition formula.
\[\dfrac{6!}{2!}\] Step 3: Compute.
\[\dfrac{720}{2} = \boxed{360}\]
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