Unique Ways to Arrange Alphabets of Word STATISTICS
The 10 letters word STATISTICS can be arranged in 50400 distinct ways. The below detailed information shows how to find how many ways are there to order the letters STATISTICS and how it is being arranged in the real world problems.
Unique Ways to Arrange the Word STATISTICS
The below step by step work generated by this permutation calculator shows how to find how many different ways, the letters of the word STATISTICS can be arranged.
Objective:
Find how many distinguishable ways are there to order the letters in the word STATISTICS.
Step by step workout:
step 1 Address the formula, input parameters and values to find how many ways are there to order the letters STATISTICS.
Formula:
nPr =n!/(n1! n2! . . . nr!)
Input parameters and values:
Total number of letters in STATISTICS:
n = 10
Distinct subsets:
Subsets : S = 3; T = 3; A = 1; I = 2; C = 1;
Subsets' count:
n1(S) = 3, n2(T) = 3, n3(A) = 1, n4(I) = 2, n5(C) = 1
step 2 Apply the values extracted from the word STATISTICS in the (nPr) permutations equation
nPr = 10!/(3! 3! 1! 2! 1! )
= 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10/{(1 x 2 x 3) (1 x 2 x 3) (1) (1 x 2) (1)}
= 3628800/72
= 50400
nPr of word STATISTICS = 50400
Hence,
The letters of the word STATISTICS can be arranged in 50400 distinct ways.
Apart from the word STATISTICS, 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.
