Question

How many permutations of the letters in the word STAT can you have?

Answer 1

Finding permutation of the words

n = number of letters

r1,r2,..rn are the number of times each letter occurs.

Permutation = n ! / ( r1 ! * r2 ! * r3 !*...*rn !)

How many permutations of the letters in the word STAT can you have?

STAT is 4 letter word where 3 unique words as T repeated twice.

We have n= 4 total letter

S occurs 1 time, T occurs 2 time, A occurs 1 time

Permutations = 4 ! / ( 1! * 2! * 1!)  

= 24 / 1*2*1

= 24 / 2

= 12

12 permutations of the letters in the word STAT.