Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Permutation & Combination

Question:

In how many different ways can the letters of the word GOODNESS be arranged?

Options:

5040

20160

10080

10720

Correct Answer:

10080

Explanation:

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:

$\frac{8!}{2! \times 2!} = \frac{40320}{4} = 10080$