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

Correct option is B

Given:

The word is POWERS , which consists of 6 letters: P, O, W, E, R, S , all distinct.

Formula Used:

The number of arrangements of n distinct letters is given by:

​$$n! = n \times (n - 1) \times (n - 2) \times \ldots \times 1$$​

Solution:

1. The total number of letters is 6. Since all letters are distinct, the total number of arrangements is:

​$$6! = 6 \times 5 \times 4 \times 3 \times 2 \times 1$$​

2. Calculate 6! :

6! = 720

Final Answer:

The letters of the word $$\text{POWERS}$$​ can be arranged in 720 different ways.