How Many Ways are There to Order the Letters of Word MEXICO?
The 6 letters word MEXICO can be arranged in 720 distinct ways. The below detailed information shows how to find how many ways are there to order the letters MEXICO and how it is being calculated in the real world problems.
Distinguishable Ways to Arrange the Word MEXICO
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 MEXICO be arranged.
Objective:
Find how many distinguishable ways are there to order the letters in the word MEXICO.
Step by step workout:
step 1 Address the formula, input parameters and values to find how many ways are there to order the letters MEXICO.
Formula:
nPr =n!/(n1! n2! . . . nr!)
Input parameters and values:
Total number of letters in MEXICO:
n = 6
Distinct subsets:
Subsets : M = 1; E = 1; X = 1; I = 1; C = 1; O = 1;
Subsets' count:
n1(M) = 1, n2(E) = 1, n3(X) = 1, n4(I) = 1, n5(C) = 1, n6(O) = 1
step 2 Apply the values extracted from the word MEXICO 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 MEXICO = 720
Hence,
The letters of the word MEXICO can be arranged in 720 distinct ways.
Apart from the word MEXICO, 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.
