In how many different ways can the letters of the word “MANAGEMENT” be arranged?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 10!/(2!2!2!2!)
MANAGEMENT has 10 letters, and four of them are repeated twice each: M, A, N and E; G and T occur once.
The number of arrangements of n letters with repetitions is n! divided by the factorials of the repeats, which here is 10!/(2!2!2!2!).