Question
In how many ways can the letters of the word 'LEADER' be arranged?
Answer: Option C
The word 'LEADER' contains 6 letters, namely 1L, 2E, 1A, 1D and 1R.
∴ Required number of ways
$$ = \frac{{6!}}{{\left( {1!} \right)\left( {2!} \right)\left( {1!} \right)\left( {1!} \right)\left( {1!} \right)}} = 360$$
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The word 'LEADER' contains 6 letters, namely 1L, 2E, 1A, 1D and 1R.
∴ Required number of ways
$$ = \frac{{6!}}{{\left( {1!} \right)\left( {2!} \right)\left( {1!} \right)\left( {1!} \right)\left( {1!} \right)}} = 360$$
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