Unique Ways to Arrange Alphabets of Word TOOTH
The 5 letters word TOOTH can be arranged in 30 distinct ways. The below detailed information shows how to find how many ways are there to order the letters TOOTH and how it is being arranged in the real world problems.
Possible Arrangements of Alphabets in "TOOTH"
The 5 letters word TOOTH can be arranged in 30 unique ways. Below is the list of all possible unique arrangements:
Unique Ways to Arrange the Word TOOTH
The below step by step work generated by this permutation calculator shows how to find how many different ways, the letters of the word TOOTH can be arranged.
Objective:
Find how many distinguishable ways are there to order the letters in the word TOOTH.
Step by step workout:
step 1 Address the formula, input parameters and values to find how many ways are there to order the letters TOOTH.
Formula:
nPr =n!/(n1! n2! . . . nr!)
Input parameters and values:
Total number of letters in TOOTH:
n = 5
Distinct subsets:
Subsets : T = 2; O = 2; H = 1;
Subsets' count:
n1(T) = 2, n2(O) = 2, n3(H) = 1
step 2 Apply the values extracted from the word TOOTH in the (nPr) permutations equation
nPr = 5!/(2! 2! 1! )
= 1 x 2 x 3 x 4 x 5/{(1 x 2) (1 x 2) (1)}
= 120/4
= 30
nPr of word TOOTH = 30
Hence,
The letters of the word TOOTH can be arranged in 30 distinct ways.
Apart from the word TOOTH, you may try different words with various lengths with or without repetition of letters to observe how it affects the nPr word permutation calculation to find how many ways the letters in the given word can be arranged.
