How Many Ways are There to Order the Letters of Word PARRIS?
The 6 letters word PARRIS can be arranged in 360 distinct ways. The below detailed information shows how to find how many ways are there to order the letters PARRIS and how it is being calculated in the real world problems.
Distinguishable Ways to Arrange the Word PARRIS
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 PARRIS be arranged.
Objective:
Find how many distinguishable ways are there to order the letters in the word PARRIS.
Step by step workout:
step 1 Address the formula, input parameters and values to find how many ways are there to order the letters PARRIS.
Formula:
nPr =n!/(n1! n2! . . . nr!)
Input parameters and values:
Total number of letters in PARRIS:
n = 6
Distinct subsets:
Subsets : P = 1; A = 1; R = 2; I = 1; S = 1;
Subsets' count:
n1(P) = 1, n2(A) = 1, n3(R) = 2, n4(I) = 1, n5(S) = 1
step 2 Apply the values extracted from the word PARRIS in the (nPr) permutations equation
nPr = 6!/(1! 1! 2! 1! 1! )
= 1 x 2 x 3 x 4 x 5 x 6/{(1) (1) (1 x 2) (1) (1)}
= 720/2
= 360
nPr of word PARRIS = 360
Hence,
The letters of the word PARRIS can be arranged in 360 distinct ways.
Apart from the word PARRIS, 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.
