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

The 11 letters word COEFFICIENT can be arranged in 2494800 distinct ways. The below detailed information shows how to find how many ways are there to order the letters COEFFICIENT and how it is being calculated in the real world problems.

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Distinguishable Ways to Arrange the Word COEFFICIENT
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 COEFFICIENT be arranged.

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

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

Input parameters and values:
Total number of letters in COEFFICIENT:
n = 11

Distinct subsets:
Subsets : C = 2; O = 1; E = 2; F = 2; I = 2; N = 1; T = 1;
Subsets' count:
n1(C) = 2, n2(O) = 1, n3(E) = 2, n4(F) = 2, n5(I) = 2, n6(N) = 1, n7(T) = 1

step 2 Apply the values extracted from the word COEFFICIENT in the (nPr) permutations equation
nPr = 11!/(2! 1! 2! 2! 2! 1! 1! )

= 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11/{(1 x 2) (1) (1 x 2) (1 x 2) (1 x 2) (1) (1)}

= 39916800/16

= 2494800
nPr of word COEFFICIENT = 2494800

Hence,
The letters of the word COEFFICIENT can be arranged in 2494800 distinct ways.

Apart from the word COEFFICIENT, 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. 