Unique Ways to Arrange Alphabets of Word FLORIDA
The 7 letters word FLORIDA can be arranged in 5040 distinct ways. The below detailed information shows how to find how many ways are there to order the letters FLORIDA and how it is being arranged in the real world problems.
Possible Arrangements of Alphabets in "FLORIDA"
The 7 letters word FLORIDA can be arranged in 5040 unique ways. Below is the list of all possible unique arrangements:
Unique Ways to Arrange the Word FLORIDA
The below step by step work generated by this permutation calculator shows how to find how many different ways, the letters of the word FLORIDA can be arranged.
Objective:
Find how many distinguishable ways are there to order the letters in the word FLORIDA.
Step by step workout:
step 1 Address the formula, input parameters and values to find how many ways are there to order the letters FLORIDA.
Formula:
nPr =n!/(n1! n2! . . . nr!)
Input parameters and values:
Total number of letters in FLORIDA:
n = 7
Distinct subsets:
Subsets : F = 1; L = 1; O = 1; R = 1; I = 1; D = 1; A = 1;
Subsets' count:
n1(F) = 1, n2(L) = 1, n3(O) = 1, n4(R) = 1, n5(I) = 1, n6(D) = 1, n7(A) = 1
step 2 Apply the values extracted from the word FLORIDA in the (nPr) permutations equation
nPr = 7!/(1! 1! 1! 1! 1! 1! 1! )
= 1 x 2 x 3 x 4 x 5 x 6 x 7/{(1) (1) (1) (1) (1) (1) (1)}
= 5040/1
= 5040
nPr of word FLORIDA = 5040
Hence,
The letters of the word FLORIDA can be arranged in 5040 distinct ways.
Apart from the word FLORIDA, 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.
