Question on: JAMB Mathematics - 2024
In how many ways can the letters LEADER be arranged?
A
72
B
144
C
360
D
720
Ask EduPadi AI for a detailed answer
Correct Option: C
The word "LEADER" has 6 letters. The letter E appears twice.
To find the number of arrangements, we use the formula for permutations with repetitions:
\[ \, \frac{n!}{n_1!n_2!\ldots n_k!} \, \]
In "LEADER":
- Total letters: 6
- 'E' appears twice
\[ \, \frac{6!}{2!} = \frac{720}{2} = 360 \, \]
Thus, the total number of arrangements is 360.
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