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