In how many different ways can the letters of the word GOODNESS be arranged?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 10080
The word GOODNESS has 8 letters.
Repeated letters:
- O appears 2 times
- S appears 2 times
Number of different arrangements:
$\frac{8!}{2! \times 2!} = \frac{40320}{4} = 10080$