In how many ways can the letters LEADER be arra... - JAMB Mathematics 2024 Question
In how many ways can the letters LEADER be arranged?
A
72
B
144
C
360
D
720
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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 repetition:
- Calculate the total number of arrangements if all letters were unique: 6! = 6 × 5 × 4 × 3 × 2 × 1 = 720.
- Account for the repetition of the letter 'E'. Since 'E' appears twice, we divide by the factorial of the number of times it repeats, which is 2!: 2! = 2 × 1 = 2
- Number of arrangements = 720 / 2 = 360
Therefore, the letters in the word LEADER can be arranged in 360
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