Number of unique arrangements, with 13 letter word 'statistically'

  • Thread starter mynameisfunk
  • Start date
In summary, the number of unique arrangements that can be made with the 13 letter word "statistically" is 13!, the formula for calculating the number of unique arrangements for a word with n letters is n!, if there are repeated letters in the word the number of unique arrangements will decrease, the number of unique arrangements can be calculated for words with any number of letters, and the number of unique arrangements will remain the same if the letters are rearranged but the word remains the same.
  • #1
mynameisfunk
125
0

Homework Statement



how many different letter arrangements can be obtained from the letters of the word statistically, using all the letters?

Homework Equations





The Attempt at a Solution



[tex]\frac{13!}{3!2!2!2!2!}[/tex]
 
Physics news on Phys.org
  • #2


That looks correct to me.
 
  • #3


ok cool thank you
 

1. How many unique arrangements can be made with the 13 letter word "statistically"?

The number of unique arrangements that can be made with the 13 letter word "statistically" is 13!, which is equal to 6,227,020,800.

2. What is the formula for calculating the number of unique arrangements for a word with n letters?

The formula for calculating the number of unique arrangements for a word with n letters is n!, which stands for n factorial. This means multiplying all the numbers from 1 to n together.

3. How does the number of unique arrangements change if there are repeated letters in the word?

If there are repeated letters in the word, the number of unique arrangements will decrease. This is because the repeated letters will result in duplicate arrangements, so the total number of unique arrangements will be divided by the factorial of the number of repeated letters.

4. Can the number of unique arrangements be calculated for words with more than 13 letters?

Yes, the number of unique arrangements can be calculated for words with any number of letters. However, for words with a large number of letters, the calculation may become more complex and a computer program may be needed to find the exact number.

5. How does the number of unique arrangements change if the letters are rearranged but the word remains the same?

The number of unique arrangements will remain the same if the letters are rearranged but the word remains the same. This is because the total number of unique arrangements is based on the number of distinct letters in the word, not the specific order of the letters.

Similar threads

  • Precalculus Mathematics Homework Help
Replies
8
Views
417
  • Precalculus Mathematics Homework Help
Replies
2
Views
831
  • Precalculus Mathematics Homework Help
Replies
23
Views
1K
  • Precalculus Mathematics Homework Help
Replies
3
Views
1K
  • Precalculus Mathematics Homework Help
Replies
11
Views
2K
  • Precalculus Mathematics Homework Help
Replies
3
Views
3K
  • Precalculus Mathematics Homework Help
Replies
4
Views
2K
  • Precalculus Mathematics Homework Help
Replies
17
Views
2K
  • Precalculus Mathematics Homework Help
Replies
3
Views
1K
  • Precalculus Mathematics Homework Help
Replies
28
Views
3K
Back
Top