# How Many Ways are There to Order the Letters of Word MARYLAND?

The 8 letters word MARYLAND can be arranged in 20160 distinct ways. The below detailed information shows how to find how many ways are there to order the letters MARYLAND and how it is being calculated in the real world problems.

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Distinguishable Ways to Arrange the Word MARYLAND
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 MARYLAND be arranged.

Objective:
Find how many distinguishable ways are there to order the letters in the word MARYLAND.

Step by step workout:
step 1 Address the formula, input parameters and values to find how many ways are there to order the letters MARYLAND.
Formula:
nPr =n!/(n1! n2! . . . nr!)

Input parameters and values:
Total number of letters in MARYLAND:
n = 8

Distinct subsets:
Subsets : M = 1; A = 2; R = 1; Y = 1; L = 1; N = 1; D = 1;
Subsets' count:
n1(M) = 1, n2(A) = 2, n3(R) = 1, n4(Y) = 1, n5(L) = 1, n6(N) = 1, n7(D) = 1

step 2 Apply the values extracted from the word MARYLAND in the (nPr) permutations equation
nPr = 8!/(1! 2! 1! 1! 1! 1! 1! )

= 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8/{(1) (1 x 2) (1) (1) (1) (1) (1)}

= 40320/2

= 20160
nPr of word MARYLAND = 20160

Hence,
The letters of the word MARYLAND can be arranged in 20160 distinct ways.

Apart from the word MARYLAND, 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.