Question

How many different arrangements of the letters in the word "COLOR" are there? 20

60
120

Answer 1

there are 60 because the o repeats 2

Answer 2

The total number of arrangement of COLOR is 60

B is correct

Explanation:

Given: COLOR

We need to find total number of arrangement for COLOR

In color total 5 characters and O is repeated 2 times.

Number of arrangement = total factorial over factorial of repeated characters

Total character = 5

Factor of 5 = 5!

Repeated character = 2!

Total number
`=(5!)/(2!)`

`=(5* 4* 3* 2* 1)/(2* 1)`

`=60`

Hence, The total number of arrangement of COLOR is 60