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
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
#SPJ1
