Identify the letter of the choice that best completes the statement or answers the question. How many different arrangements can be made using all of the letters in the word TOPIC? a. 20 c. 120 b. 10 d. 25 Please select the best answer from the choices provided A B C D

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06-05-2022
Mathematics

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Identify the letter of the choice that best completes the statement or answers the question. How many different arrangements can be made using all of the letters in the word TOPIC? a. 20 c. 120 b. 10 d. 25 Please select the best answer from the choices provided A B C D

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Joaobezerraidn Joaobezerraidn · Answer 1 · 2022-05-13T05:55:26-04:00

Using the arrangements formula, it is found that the number of different arrangements that can be made using all of the letters of TOPIC is given by:

c. 120

What is the arrangements formula?

The number of possible arrangements of n elements is given by the factorial of n, that is:

[tex]A_n = n![/tex]

In this problem, the word TOPIC has 5 non-repeating letters, hence the number of arrangements is given by:

[tex]A_5 = 5! = 120[/tex].

Which means that option C is correct.

More can be learned about the arrangements formula at https://brainly.com/question/25925367

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What is the arrangements formula?

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