Answer:
The word IRON can be arranged is 24 unique ways.
Step-by-step explanation:
Given:
The word = IRON
To Find:
The number of unique ways in which the letters in the word IRON can be arranged = ?
Solution:
The number of letters in IRON = 4
The number of positions = 4
In the first position, any one of the 4 letters can be placed
In the second position any one of the remaining 3 letters can be placed
In the third position any one of the remaining 2 letter can be placed
The fourth position can be filled with the left over letter
So the total number of unique way
=> [tex]\text{(number of ways of filling the 1st position)} \times\text{(number of ways of filling the 2nd position)}\times \text{(number of ways of filling the 3rd position)} \times\text{(number of ways of filling the 4th position)}[/tex]
=>[tex]4 \times 3 \times 2\times 1[/tex]
=> 24
