Unique Ways to Arrange Alphabets of Word YELLOW
The 6 letters word YELLOW can be arranged in 360 distinct ways. The below detailed information shows how to find how many ways are there to order the letters YELLOW and how it is being arranged in the real world problems.
Possible Arrangements of Alphabets in "YELLOW"
The 6 letters word YELLOW can be arranged in 360 unique ways. Below is the list of all possible unique arrangements:
Unique Ways to Arrange the Word YELLOW
The below step by step work generated by this permutation calculator shows how to find how many different ways, the letters of the word YELLOW can be arranged.
Objective:
Find how many distinguishable ways are there to order the letters in the word YELLOW.
Step by step workout:
step 1 Address the formula, input parameters and values to find how many ways are there to order the letters YELLOW.
Formula:
nPr =n!/(n1! n2! . . . nr!)
Input parameters and values:
Total number of letters in YELLOW:
n = 6
Distinct subsets:
Subsets : Y = 1; E = 1; L = 2; O = 1; W = 1;
Subsets' count:
n1(Y) = 1, n2(E) = 1, n3(L) = 2, n4(O) = 1, n5(W) = 1
step 2 Apply the values extracted from the word YELLOW in the (nPr) permutations equation
nPr = 6!/(1! 1! 2! 1! 1! )
= 1 x 2 x 3 x 4 x 5 x 6/{(1) (1) (1 x 2) (1) (1)}
= 720/2
= 360
nPr of word YELLOW = 360
Hence,
The letters of the word YELLOW can be arranged in 360 distinct ways.
Apart from the word YELLOW, 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.
