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

  • A.72
  • B.144
  • C.360
  • D.720

Answer: C

Correct answer: 360

The word has 6 letters, of which E occurs twice and the rest once each.

\[\frac{6!}{2!} = \frac{720}{2} = 360\]

Dividing by 2! removes the arrangements that merely swap the two identical E’s.

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