Number of Ways to Arrange n Letters Word Calculator
getcalc.com\'s Ways to Arrange n Letters of a Word Calculator to estimate how many number of ways to arrange n letters (alphabets) or word having different subsets (similar elements). The statistics & probability method Permutation (nPr) is employed to find the number of possible different arrangement of letters for a given word. Users may supply any single word names such as country, places, persons, animals, birds, oceans, rivers, celebrities, scientists etc. to check how many ways the alphabets of a given word can be arranged by using this letters arrangement calculator.
Below is the reference table to know how many distinct ways a 2, 3, 4, 5, 6, 7, 8, 9 or 10 letters word can be arranged, where the order of arrangement is important. The n factorial (n!) is the total number of possible ways to arrange a 'n' distinct letters word. Refer permutation formulas to know how to find nPr for different scenarios such as nPr for group of objects having multiple subsets (similar objects), nPr for circular objects or nPr for taking r objects at a time.
| Number of Ways to Arrance 'n' Letters of a Word | |
|---|---|
| 'n' Letters Words | Ways to Arrange |
| 3 Letters Word | 6 Distinct Ways |
| 4 Letters Word | 24 Distinct Ways |
| 5 Letters Word | 120 Distinct Ways |
| 6 Letters Word | 720 Distinct Ways |
| 7 Letters Word | 5,040 Distinct Ways |
| 8 Letters Word | 40,320 Distinct Ways |
| 9 Letters Word | 362,880 Distinct Ways |
| 10 Letters Word | 3,628,800 Distinct Ways |
Work with Steps
This calculator is featured to generate complete work with step by step calculation for any given word to help grade school students to solve the similar worksheet problems to find how many ways to arrange n letters word. The below are the example word problems to find the permutations or number of distinct ways arrange the alphabets for the corresponding words.
