Question

How many unique ways are there to arrange the letters in the word IRON?

Answer 1

The word IRON can be arranged is 24 unique ways.

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

=>
`\text{(number of ways of filling the 1st position)} *\text{(number of ways of filling the 2nd position)}* \text{(number of ways of filling the 3rd position)} *\text{(number of ways of filling the 4th position)}`

=>
`4 * 3 * 2* 1`

=> 24