How Many Ways are There to Order the Letters of Word LOVE?
The 4 letters word LOVE can be arranged in 24 distinct ways. The below detailed information shows how to find how many ways are there to order the letters LOVE and how it is being calculated in the real world problems.
Distinguishable Ways to Arrange the Word LOVE
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 LOVE be arranged.
Objective:
Find how many distinguishable ways are there to order the letters in the word LOVE.
Step by step workout:
step 1 Address the formula, input parameters and values to find how many ways are there to order the letters LOVE.
Formula:
nPr =n!/(n1! n2! . . . nr!)
Input parameters and values:
Total number of letters in LOVE:
n = 4
Distinct subsets:
Subsets : L = 1; O = 1; V = 1; E = 1;
Subsets' count:
n1(L) = 1, n2(O) = 1, n3(V) = 1, n4(E) = 1
step 2 Apply the values extracted from the word LOVE in the (nPr) permutations equation
nPr = 4!/(1! 1! 1! 1! )
= 1 x 2 x 3 x 4/{(1) (1) (1) (1)}
= 24/1
= 24
nPr of word LOVE = 24
Hence,
The letters of the word LOVE can be arranged in 24 distinct ways.
Apart from the word LOVE, 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.
