Unique Ways to Arrange Alphabets of Word LAUGH
The 5 letters word LAUGH can be arranged in 120 distinct ways. The below detailed information shows how to find how many ways are there to order the letters LAUGH and how it is being arranged in the real world problems.
Possible Arrangements of Alphabets in "LAUGH"
The 5 letters word LAUGH can be arranged in 120 unique ways. Below is the list of all possible unique arrangements:
Unique Ways to Arrange the Word LAUGH
The below step by step work generated by this permutation calculator shows how to find how many different ways, the letters of the word LAUGH can be arranged.
Objective:
Find how many distinguishable ways are there to order the letters in the word LAUGH.
Step by step workout:
step 1 Address the formula, input parameters and values to find how many ways are there to order the letters LAUGH.
Formula:
nPr =n!/(n1! n2! . . . nr!)
Input parameters and values:
Total number of letters in LAUGH:
n = 5
Distinct subsets:
Subsets : L = 1; A = 1; U = 1; G = 1; H = 1;
Subsets' count:
n1(L) = 1, n2(A) = 1, n3(U) = 1, n4(G) = 1, n5(H) = 1
step 2 Apply the values extracted from the word LAUGH in the (nPr) permutations equation
nPr = 5!/(1! 1! 1! 1! 1! )
= 1 x 2 x 3 x 4 x 5/{(1) (1) (1) (1) (1)}
= 120/1
= 120
nPr of word LAUGH = 120
Hence,
The letters of the word LAUGH can be arranged in 120 distinct ways.
Apart from the word LAUGH, 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.
