Question

In how many ways can letters of the word ‘orange' can be arranged:

Answer 1

permutations=6!= 720 (°.° 6 letters are in orange)
720 different ways are possible.

hope it helps

Answer 2

Given:

A word: orange

To find:

The number of ways in which the letters of orange can be arranged

Solution:

The number of ways in which the letters of orange can be arranged is 720.

We can find the number by following the given steps-

We know that the number of arrangements can be found using the concept of permutation.

The number of letters in the word orange=6

We know that to rearrange these letters, each letter can be used only once and will not be repeated.

So, there are six places for all the letters.

In the first place, any of the 6 letters can be placed. In the second place, only 5 letters can be placed and so on.

The number of arrangements=6×5×4×3×2×1

This can also be written as factorial of 6=6!

The number of arrangements=720

So, the letters can be arranged in 720 different ways.

Therefore, the number of ways in which the letters of orange can be arranged is 720.