How Many Ways are There to Order the Letters of Word BRAZIL?
The 6 letters word BRAZIL can be arranged in 720 distinct ways. The below detailed information shows how to find how many ways are there to order the letters BRAZIL and how it is being calculated in the real world problems.
Distinguishable Ways to Arrange the Word BRAZIL
The below step by step work generated by the word permutations calculator shows how to find how many different ways can the letters of the word BRAZIL be arranged.
Objective:
Find how many distinguishable ways are there to order the letters in the word BRAZIL.
Step by step workout:
step 1 Address the formula, input parameters and values to find how many ways are there to order the letters BRAZIL.
Formula:
nPr =n!/(n1! n2! . . . nr!)
Input parameters and values:
Total number of letters in BRAZIL:
n = 6
Distinct subsets:
Subsets : B = 1; R = 1; A = 1; Z = 1; I = 1; L = 1;
Subsets' count:
n1(B) = 1, n2(R) = 1, n3(A) = 1, n4(Z) = 1, n5(I) = 1, n6(L) = 1
step 2 Apply the values extracted from the word BRAZIL in the (nPr) permutations equation
nPr = 6!/(1! 1! 1! 1! 1! 1! )
= 1 x 2 x 3 x 4 x 5 x 6/{(1) (1) (1) (1) (1) (1)}
= 720/1
= 720
nPr of word BRAZIL = 720
Hence,
The letters of the word BRAZIL can be arranged in 720 distinct ways.
Apart from the word BRAZIL, 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.
