How many words can you make with the letters from the word Constitution?
Your assignment is how may words can YOU make?
Start with: con, sit, tut, tuition
How many more can YOU find?
con, on sit, not, son, ton, non, nit, it, is, no, sin, stint, tint, tin, tints, tons,
To find out how many words you can make with the letters from the word "Constitution," you can follow these steps:
1. Start by determining the total number of letters in the word "Constitution." In this case, there are 12 letters.
2. Now you need to consider the arrangement of these letters to form different words. Since some letters are repeated, you need to account for this repetition.
3. For example, the word "Constitution" has two letter 'o's, two letter 'i's, and two letter 'n's. To calculate the number of arrangements while considering repetition, you can use the concept of combinations and permutations.
4. Begin by calculating the number of permutations for all the letters without considering repetition. This is done using the formula n!, where n is the total number of letters. In this case, n = 12 letters, so the number of permutations is 12!.
5. However, this count includes the repetition of the letter 'o' twice, 'i' twice, and 'n' twice. To eliminate this repetitive counting, divide the total permutations by the factorial of how many times each letter is repeated.
6. For example, there are 2 factorial (2!) ways to arrange the two 'o's, 2 factorial (2!) ways to arrange the two 'i's, and 2 factorial (2!) ways to arrange the two 'n's. So, divide the total permutations by (2! * 2! * 2!).
7. Finally, calculate the result by dividing 12! by (2! * 2! * 2!). This will give you the total number of unique words that can be formed using the letters of the word "Constitution."
Note: Calculating the exact number of words can be time-consuming, as it would involve listing out every possible combination. To get an accurate count, it would be more efficient to use a computer program or algorithm specifically designed for this purpose.