How Many Ways are There to Order the Letters of Word CANADA?
The 6 letters word CANADA can be arranged in 120 distinct ways. The below detailed information shows how to find how many ways are there to order the letters CANADA and how it is being calculated in the real world problems.
Distinguishable Ways to Arrange the Word CANADA
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 CANADA be arranged.
Objective:
Find how many distinguishable ways are there to order the letters in the word CANADA.
Step by step workout:
step 1 Address the formula, input parameters and values to find how many ways are there to order the letters CANADA.
Formula:
nPr =n!/(n1! n2! . . . nr!)
Input parameters and values:
Total number of letters in CANADA:
n = 6
Distinct subsets:
Subsets : C = 1; A = 3; N = 1; D = 1;
Subsets' count:
n1(C) = 1, n2(A) = 3, n3(N) = 1, n4(D) = 1
step 2 Apply the values extracted from the word CANADA in the (nPr) permutations equation
nPr = 6!/(1! 3! 1! 1! )
= 1 x 2 x 3 x 4 x 5 x 6/{(1) (1 x 2 x 3) (1) (1)}
= 720/6
= 120
nPr of word CANADA = 120
Hence,
The letters of the word CANADA can be arranged in 120 distinct ways.
Apart from the word CANADA, 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.
