Unique Ways to Arrange Alphabets of Word TRILLION
The 8 letters word TRILLION can be arranged in 10080 distinct ways. The below detailed information shows how to find how many ways are there to order the letters TRILLION and how it is being arranged in the real world problems.
Unique Ways to Arrange the Word TRILLION
The below step by step work generated by this permutation calculator shows how to find how many different ways, the letters of the word TRILLION can be arranged.
Objective:
Find how many distinguishable ways are there to order the letters in the word TRILLION.
Step by step workout:
step 1 Address the formula, input parameters and values to find how many ways are there to order the letters TRILLION.
Formula:
nPr =n!/(n1! n2! . . . nr!)
Input parameters and values:
Total number of letters in TRILLION:
n = 8
Distinct subsets:
Subsets : T = 1; R = 1; I = 2; L = 2; O = 1; N = 1;
Subsets' count:
n1(T) = 1, n2(R) = 1, n3(I) = 2, n4(L) = 2, n5(O) = 1, n6(N) = 1
step 2 Apply the values extracted from the word TRILLION in the (nPr) permutations equation
nPr = 8!/(1! 1! 2! 2! 1! 1! )
= 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8/{(1) (1) (1 x 2) (1 x 2) (1) (1)}
= 40320/4
= 10080
nPr of word TRILLION = 10080
Hence,
The letters of the word TRILLION can be arranged in 10080 distinct ways.
Apart from the word TRILLION, 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.
