Final answer:
Permutations are used to calculate the total number of different arrangements considering repeated letters in a word like OMNIPOTENT.
Explanation:
Permutations are used to calculate the total number of different arrangements. In this case, the word OMNIPOTENT has a total of 10 letters. Since some letters are repeated, we need to consider this when calculating permutations. The formula to calculate permutations of a word with repeated letters is given by
Pn = n! / (n1! n2! ... * nk!)
Where n is the total number of items, and n1, n2, ..., nk are the repetitions of each item. In this case, the word 'OMNIPOTENT' has 10 letters. Among them, 'E' appears 2 times. So, the total number of different 10-letter arrangements that can be formed using the word OMNIPOTENT is calculated by
10! / (2!)
By calculating this, you can find the total number of unique arrangements possible with the given word.
Learn more about Permutations with repeated letters here:
https://brainly.com/question/23283166
