Question

In how many ways can the letters of the word ‘STRESS’ be arranged?

• A. 360
• B. 240
• C. 720
• D. 120

Hint:

When letters are repeated in a word, divide the factorial of total letters by the factorials of repeated letters to avoid overcounting.

Answer 1

The Correct Option is D

The word “STRESS” has 6 letters.
Let’s examine the repetitions:
Letters: S (3 times), T (1), R (1), E (1)
So, the total number of unique permutations is:
$\dfrac{6!}{3!} = \dfrac{720}{6} = \boxed{120}$