Final answer:
5040 different words can be formed using the letters of COLEGIO.
Explanation:
Combination: To find the number of different words that can be formed using all the letters of the word COLEGIO, we can use the concept of permutations. The word COLEGIO has 7 distinct letters, so the total number of ways to arrange these letters is 7! (7 factorial).
Calculation: 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040. Therefore, there are 5040 different words that can be formed using the letters of COLEGIO.
Learn more about Permutations and combinations here:
https://brainly.com/question/34452834
