How Many Ways are There to Order the Letters of Word KISS?
The 4 letters word KISS can be arranged in 12 distinct ways. The below detailed information shows how to find how many ways are there to order the letters KISS and how it is being calculated in the real world problems.
Distinguishable Ways to Arrange the Word KISS
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 KISS be arranged.
Objective:
Find how many distinguishable ways are there to order the letters in the word KISS.
Step by step workout:
step 1 Address the formula, input parameters and values to find how many ways are there to order the letters KISS.
Formula:
nPr =n!/(n1! n2! . . . nr!)
Input parameters and values:
Total number of letters in KISS:
n = 4
Distinct subsets:
Subsets : K = 1; I = 1; S = 2;
Subsets' count:
n1(K) = 1, n2(I) = 1, n3(S) = 2
step 2 Apply the values extracted from the word KISS in the (nPr) permutations equation
nPr = 4!/(1! 1! 2! )
= 1 x 2 x 3 x 4/{(1) (1) (1 x 2)}
= 24/2
= 12
nPr of word KISS = 12
Hence,
The letters of the word KISS can be arranged in 12 distinct ways.
Apart from the word KISS, 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.
