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

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

A.

640

B.

720

C.

1440

D.

360

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×(n1)×(n2)××1n! = 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!=6×5×4×3×2×16! = 6 \times 5 \times 4 \times 3 \times 2 \times 1

2. Calculate 6! :

6! = 720

Final Answer:

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

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