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# In how many ways can the letters of the word TOTALITY be arranged?

### Question

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

A) 6720

B) 6270

C) 6207

D) 6027

### Explanation:

$$\frac{8!}{3!}$$
$$\frac{8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{3 \times 2\times 1}$$
==> 8 x 7 x 6 x 5 x 4 = 6720

## Dicussion (1)

• $$\frac{8!}{3!}$$
$$\frac{8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{3 \times 2\times 1}$$
==> 8 x 7 x 6 x 5 x 4 = 6720