Unique Ways to Arrange Alphabets of Word APPLE
The 5 letters word APPLE can be arranged in 60 distinct ways. The below detailed information shows how to find how many ways are there to order the letters APPLE and how it is being arranged in the real world problems.
Possible Arrangements of Alphabets in "APPLE"
The 5 letters word APPLE can be arranged in 60 unique ways. Below is the list of all possible unique arrangements:
Unique Ways to Arrange the Word APPLE
The below step by step work generated by this permutation calculator shows how to find how many different ways, the letters of the word APPLE can be arranged.
Objective:
Find how many distinguishable ways are there to order the letters in the word APPLE.
Step by step workout:
step 1 Address the formula, input parameters and values to find how many ways are there to order the letters APPLE.
Formula:
nPr =n!/(n1! n2! . . . nr!)
Input parameters and values:
Total number of letters in APPLE:
n = 5
Distinct subsets:
Subsets : A = 1; P = 2; L = 1; E = 1;
Subsets' count:
n1(A) = 1, n2(P) = 2, n3(L) = 1, n4(E) = 1
step 2 Apply the values extracted from the word APPLE in the (nPr) permutations equation
nPr = 5!/(1! 2! 1! 1! )
= 1 x 2 x 3 x 4 x 5/{(1) (1 x 2) (1) (1)}
= 120/2
= 60
nPr of word APPLE = 60
Hence,
The letters of the word APPLE can be arranged in 60 distinct ways.
Apart from the word APPLE, 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.
